Help with radicals please***?
1) 63/sqrt(45) split the number under the radical into a perfect square and another number 63/sqrt(9*5) split this radical into two radicals 63/(sqrt(9) * sqrt(5)) simplify the square root of the perfect square 63/(3*sqrt(5)) see if the numerator is divisible by your coefficient, the 3 Final answer 21/sqrt(5) 2) sqrt(25x) + sqrt(36x) - sqrt(4x) split sqrt(25)sqrt(x)+sqrt(36)sqrt(x)-sqrt(4... simplify 5sqrt(x) + 6sqrt(x) - 2sqrt(x) combine like terms Final Answer 9sqrt(x) 3) Stumped sorry 4) sqrt (15/5) * sqrt (15/98) same as sqrt ((15/5) * (15/98) combine into one fraction sqrt(225/490) split them apart sqrt(225)/sqrt(490) simplify and pull out a perfect square 15/sqrt(49*10) split 15/(sqrt(49)*sqrt(10)) simplify 15/(7 * sqrt(10) from here I'm stuck I don't know if you can do anymore also I assumed these were all square roots, hopefully they are
Can you help me: Dividing radicals?
Math people generally don't like fractions with radicals in the denominator. If at all possible, they would prefer to have a rational number for a denominator. Thus, whenever a radical appears in the denominator, they "rationalize" it. For 5 / R3, we multipky the fraction by 1 5 / R3 X1, is the same as 5 / R3 X 1/1 we write the 1/1 as R3/R3, to get 5 / R3 X R3/R3, =5R3/3. Presto!! a rational number for the denominator 2 / R7 X R7/R7, =2R7/7 3R6 / R2=3R3 That's because R6 = R3 X R2, so R6/R2=R3 X R2 / R2, =R3
Help me with this essay - about free radicals?
There are several theories on aging in humans due to genetics. There are four main theories involving genetics and these are the wear and tear theory, the free radical theory, cross-linking theory and somatic mutation theory. Aging is defined as The process of growing old or maturing. Most of these theories follow that though some sort of damage to the DNA / other parts of the cell, the cell dies with leads to the human body to age. These theories are not all proved to be correct some people believe that some are better then others as there is no known reason for aging in genetics. The cross-linked theory of aging, this theory follows the basis of that with age, the proteins in our body, our DNA and other structural molecules in our cells develop over time inappropriate attachments or a more appropriate name cross-linked. These bonds can inhibit protein enzymes breaking them down so these damaged (cross-linked) proteins stick around. As they are in the cell and cannot be broken down, they can then cause problems and therefore they can lead to cell damage, which can lead to aging. For example cross-linking of the protein collagen ahs been shown to cause wrinkles which is a common sign of aging. The free radical theory believes that free radicals that are produced in the cell and not contained can cause damage to the DNA and therefore cause aging. The DNA damage can then lead onto aging. The somatic mutation theory of aging follows the belief that due to mutations that occur in the cell can cause the cell to malfunction and die. The free radical also attacks the cell membranes creating lipofuscins. A clear example of the mutation theory is in inbred animals. There is no one concise theory that shows why we age. For every division the end of the DNA strand or telomeres get shorter. This can be especially be seen in the liver fro damage due to alcohol. These mutations can be caused by a various number of ways for example UV lights, chemicals, radiation and our DNA naturally mutating. The somatic mutation theory shows that mutations can cause damage to our cells, which eventually cause death to the cell and therefore aging of the body. Therefore, eventually there is a loss of energy production and thus aging. The ones that do escape can cause damage to our DNA, proteins and mitochondria. Once they get to a certain length that DNA molecule can no longer divide. *Hope This Helps*
Simplify radicals? Can anyone help?
The thing you need to know to do these problems is: √(a*b) = √a * √b. That and looking for where you can factor out perfect squares. 1. √3*√27 = √(3*27) = √81 = 9 2. √15*√3+√15*2√5 = √(45) + 2√(75) = √(9*5) + 2√(25*3) = √9*√5 + 2√25*√3 = 3√5 + 10√3 3. 4√3 + √12 = 4√3 + √(4*3) = 4√3 + √4*√3 = 4√3 + 2√3 = 6√3 4. √80x+2√45x-3√20x = √(16*5)x + 2√(9*5)x - 3√(4*5)x = √16√5x + 2√9√5x - 3√4√5x = 4√5x + 6√5x - 6√5x = 4√5x (if x is outside the radical, it's 4√5 * x, otherwise it's 4√(5x)) 5. √49x^2 7x^2 (If you mean "√49 * x^2") 7x (if you mean √(49x^2)) The little radical signs are cute, but without parentheses, it is difficult to tell where you want the radical to stop. There's a difference between (√5) * x and √(5x)... but both seem to be written √5x.
Ugh radicals/geometry?
The only square roots we can simplify directly are square roots with the square of an integer inside. You're well-familiar with these, for example: sqrt(9) = 3, sqrt(49)=7. But 27 is not the square of a number. So how can we simplify it? We look for squares in the FACTORIZATION of 27. The prime factorization of 27 is 27 = 3x3x3. Is there a square in this factorization? Yes, you can write 3x3x3 as 3x(3^2), that is, 3x9. And you know that sqrt(9) = 3. Therefore, sqrt(27) = sqrt(9x3) = sqrt(9) x sqrt(3) = 3 x sqrt(3) Finally, then, 4sqrt(27) = 4x3xsqrt(3) = 12sqrt(3)
Help with these math problems dealing with radicals?
Simplify each expression: 1) sqrt 180 = sqrt (36*5); 36 is a perfect square. = 6 sqrt 5 2) 3 sqrt 18 = 3 sqrt (9*2); 9 is a perfect square. = 9 sqrt 2 Combine the radicals: 1) sqrt 18 + sqrt 8 - sqrt 32 = 3 sqrt 2 + 2 sqrt 2 - 4 sqrt 2 = sqrt 2 2)3 sqrt 20 - 2 sqrt 45 = 3 sqrt (4*5) - 2 sqrt (9*5) = 6 sqrt 5 - 6 sqrt 5 = 0 Multiply or divide then simplify: 1) 8*2*((sqrt2)^2)) = 16 * 2 // sqrt 2 raised to 2 is equal to 2.// = 32 2) (3 sqrt 5)^2 = 9 * 5 //sqrt 5 raised to 2 is equal to 5.// = 45 3) (16 sqrt 21)/(2sqrt7) = (16 sqrt 3 sqrt 7) / 2 sqrt 7 = 8 sqrt 3 4) (5 sqrt 162)/(9 sqrt 50) = ( 5 sqrt (81*2))/(9 sqrt (25*2)) = (45 sqrt 2)/(45 sqrt 2) = 1 The expression sqrt 108 - sqrt 3 is equal to (sqrt (36 * 3)) - sqrt 3. Thus, the expression is equal to 5 sqrt 3. The sum of 9 sqrt 2 and sqrt 32 is equal to (9 sqrt 2 + sqrt (16*2)). Hence, the sum is 13 sqrt 2.
Can someone help me with this radical equation?
I got 9/5, not 5/9. √(5a - 9) = √(5a) - 3 Square both sides. [√(5a - 9)]² = [√(5a) - 3]² 5a - 9 = [√(5a) - 3][√(5a) - 3] 5a - 9 = [√(5a) * √(5a)] + √(5a)(-3) - 3(√(5a) - 3(-3)] 5a - 9 = [5a - 3√(5a) - 3√(5a) + 9] 5a - 9 = 5a - 6√(5a) + 9 18 = - 6√(5a) 18 / -6 = √(5a) -3 = √(5a) Square both sides. (-3)² = [√(5a)]² 9 = 5a Divide both sides by 5. 9 = 5a 9/5 = a ANSWER: a = 9/5 CHECK: √(5a - 9) = √(5a) - 3 √[5(9/5) - 9] = √[5(9/5)] - 3? √(9 - 9) = √9 - 3? √0 = 3 - 3? 0 = 0? true