Question

Help Please! Simplifying Radical Expressions: (sqrt)35x^5y^2

Answer 1

sqrt(35x^5y^2) ?

Answer 2

Mhmm.

Answer 3

is that what you meant? or
sqrt(35)x^5y^2

Answer 4

\[\sqrt{35x^5y^2}\]

Answer 5

ah ok ,

do you know that these are equilavalent? \[\sqrt (x)=(x)^{1/2}\]

Answer 6

Yes sir.

Answer 7

so you can write your expression something like
\[(ab^nc^m)^p\]

now you just have to multiply through that power
\[=a^pb^{n\times p}c^{m\times p}\]

Answer 8

Hmm. I've never seen that before.

Answer 9

I made a mistake. \[\sqrt{32x^5y^2}\]

Answer 10

so \(a\) is like 32

Answer 11

Okay. I follow you.

Answer 12

what do you get when you change
the radical sign in the expression to power (index)

Answer 13

Can you give me an example of how this works?

Answer 14

this is a similar example

\[\sqrt[3]{8w^6v^2}=(8w^6v^2)^{1/3}=8^{1/3}w^{(6\times1/3)}v^{(2\times1/3)}=2w^2v^{2/3}\]

Answer 15

first step was to change the radical (this time cube root) to index (power) form,
then i multiplied the power through the brackets
and finally simplified the indices

in your question the number term wont simplify as nicely as my example did

Answer 16

@Liv_16 still here?