Help Me Simplify This Radical Equation.

Simplify this radical equation?

sqrt(72u^11 * v^7) + u^2 * v * sqrt(32u^7 * v^5)
sqrt(6^2 * 2 * (u^5)^2 * u * (v^3)^2 * v) + u^2 * v * sqrt(4^2 * 2 * (u^3)^2 * u * (v^2)^2 * v)
6u^5 * v^3 * sqrt(2uv) + u^2 * v * 4 * u^3 * v^2 * sqrt(2uv)
6u^5 * v^3 * sqrt(2uv) + 4u^5 * v^3 * sqrt(2uv)
10u^5 * v^3 * sqrt(2uv)

Radical equation 5radical sign -1/1024 - simplify?

5 * sqrt(-1/1024)
5 * sqrt(-1) * sqrt(1/1024)
5 * i * ±1/32
±5/32 * i

Edit: If you want the fifth root:
fifthroot(-1/1024) = -1/4 = -0.25

Note that there are four other fifth roots, and they are all imaginary.

Radical equation simplified?

about 1.89; exact is 1.885618083


1.732050808x(carat thing)3

Simplify the following radical equation?

Express 5 sqrt (3x^3) - 2 sqrt (27x^3) in simplest form

The answer sheet says it is -x sqrt (3x) but I don't see how they reached this answer

I greatly appreciate your help. I realize that these types of equations are a pain to display without appropriate notation.

Help to simplify this radical subtraction!?

I'm pretty sure that √45 is simplified to 3√5 and √80 is simplified to 4√5...so the answer is √5

Simplify radical equation in fraction form?

-1331 is -11 cubed, so we can factor that out.
8 is 2 cubed, so we can factor that out.

So now we have (-11 times the cube root of a^4) / (2 times the cube root of a)

Let's rewrite the cube root of a^4 as a^(4/3). And we'll rewrite the cube root of a as a^(1/3).

This now gives us:
[-11 a^(4/3)] / [2 a^(1/3)]

a^(4/3) divided by a^(1/3) = a^(4/3 - 1/3) = a^1 = a

So it becomes:
-11a / 2

A few radical equations. Please help?

Hi. I need help simplifying/solving radical equations.
I just want to check my answers and correct my mistakes, so I'd appreciate it if you could "walk" me through the solution.

1. sqrt"135*b^2*c^2*d" * sqrt"5*b^2*d"
I ended up with: b^2*c*d*sqrt"675*c"

2. sqrt"9y - 196" + sqrt"196" = sqrt"49"
I ended up with: 9y = 245, although I'm pretty sure that's not the answer.

3. sqrt"x" * (sqrt"9" - 4/3) = sqrt"25"
I didn't know where to start with this one.

4. Find the lengths of the triangle:
The longer leg is: 1/2x + 11
The shorter leg is: x
The hypotenuse is: 2x - 1
I started this, but I ended up dropping it because it was very difficult.

Thanks in advance!