Simplifying radicals: square roote of 25x8y16

[plastikwoman29]

I need help with the following question.

square roote of 25x8y16.
please help

 

[Denis]

Re: Simplifying radicals help

I need help with the following question.
square roote of 25x8y16.

next time, show like this: sqrt(25x8y16)
that's same as: sqrt(25)sqrt(8xy)sqrt(16) : RULE: sqrt(ab) = sqrt(a)sqrt(b)
which equals 5sqrt(8xy)4
which equals 20sqrt(8xy) : still with me?

sqrt(8xy) is same as sqrt(4)sqrt(2xy)
which equals 2sqrt(2xy)

so we now have 20(2sqrt(2xy))
which equals 40sqrt(2xy) : OK?

 

[stapel]

square roote of 25x8y16

Does the above mean any of the following?

. . . . .sqrt[25 x]⁸ y¹⁶

. . . . .sqrt[25] x⁸ y¹⁶

. . . . .sqrt[25 x⁸] y¹⁶

. . . . .sqrt[25 x⁸ y]¹⁶

. . . . .sqrt[25 x⁸ y¹⁶]

Or something else?

When you reply, please show all of the steps you have tried so far. Thank you.

Eliz.

 

[plastikwoman29]

sqrt[258x16y]
= 5 [8x16y]

then i'm lost..... anyhelp would be awesome

 

[stapel]

sqrt[258x16y]

So the expression is actually "sqrt[258 x¹⁶ y]"...? Then how did you take a "5" out?

Thank you.

Eliz.

 

[plastikwoman29]

sorry the question is [25x8y16]
= 5 [x8y16]

then im lost

 

[stapel]

On what basis did you simplify sqrt[25] = sqrt[5²] to be 5?

(Your simplification is correct, but you might need to think about the "why", so you see how to simplify sqrt[x⁸] and sqrt[y¹⁶].)

Thank you.

Eliz.