Expressing Radicals As Entiremixed Urgent

Can a mixed radical be expressed as an entire radical?

yes.
i'm assuming u mean something like 2 * sq. root of 3 as a mixed radical.

if u want to change it to an entire radical, using the number i stated above, just square the number outside the radical, so 4, and multiply it by the number already in under the radical. u will then get rad 12 which is exactly the same as 2 rad 3.
if the rad is not a square, but like finding a cube root, or 4th root, just do the same except to that power, so instead of 2 squared, it will be 2 cubed, 2 to the 4th power and then multiplied by the number under the rad.

Can every mixed radical be expressed as an entire randical..?

I suppose so.

By mixed radical I suppose you mean numbers of the form:

4 sqrt(2)

or, more generally,

a sqrt(b)

Well, 4 sqrt(2) = sqrt(4^2) sqrt(2) = sqrt( (4^2)(2) ) = sqrt(32)

and

a sqrt(b) = sqrt(a^2) sqrt(b) = sqrt( (a^2)(b) ) = sqrt(ba^2)

Expressing radicals as entire\mixed..?! (URGENT!!)?

please explain..!


1. Express the following entire radicals as mixed radicals


1) (sqrt).45


2) (sqrt)450


3 (sqrt)96x(to the power of 3)


4) (sqrt)180x(to the power of 4)


express the following mixed radicals to entire radicals

1) 12 (sqrt) 3


2) 6(to the power of 3) (sqrt)2x

3) 5x(sqrt)6x


4) 10x(to the power of 2) (sqrt) 3x (to the power of 3)


\


order each of the following sets of radicals from least to greatest


1) 4(sqrt)3, (sqrt)43, 2(sqrt)10, 3(sqrt)7, 2(sqrt)11

2) 2x(to the power of 3)(sqrt)3x, (to the power of 3)(sqrt)15x(to the power of 4), 3x(to the power of 3)(sqrt)x, 2x(to the power of 3)(sqrt)2x

Mixed radicals and simple form?

98^1/2 = 7 * sq root 2
192^1/2 = 8 * sq root 3
432^1/2 = 12 * sq root 3
845^1/2 = 13 * sq root 5

Order each of the following sets of radicals from the least to greatest?

a)
4√3, √43, 2√10, 3√7, 2√11
=> 6.928203230275509, 6.557438524302, 6.324555320336759,
7.937253933193772, 6.6332495807108
From the least to greatest:
2√10, √43, 2√11, 4√3, 3√7

b)
2x∛3x, ∛15x^4, 3x∛x, 2x∛2x
=> 2∛3x^(4/3), 15∛15x^(4/3), 3x^(4/3), 2∛2x^(4/3)
=> 2.8845x^(4/3), 36.993x^(4/3), 3x^(4/3), 2.52x^(4/3)
From the least to greatest:
∛15x^4, 3x∛x, 2x∛3x, 2x∛2x

How to write a mixed radical in its simplest form?

96 broken down to primes = 2*2*2*2*2*3, from that you can get 4*4*2*3 = 4*4*6

So

2√96 = 2√4²6 = 2*4√6 = 8√6

Tip: if you are on a PC, to make the ² symbol, hold down alt, type 0178 on number pad (with num lock on), then let go of alt. 0179 is ³, 251 is √, 241 is ±, 227 is π, etc. I don’t know if this works on an Apple computer. You can see more at http://usefulshortcuts.com/alt-codes/mat...