Question

problem below (dealing with radicals)

Answer 1

\[\frac{ \sqrt{75x^5y^2} }{ \sqrt{3xy} }\]

Answer 2

The numerator can have terms moved outside the radical sign by taking their square root. For example 75 can be factored into 25 * 3, where the square root of 25 is 5.
By doing this the numerator changes as follows:
\[\sqrt{75x ^{5}y ^{2}}=5\sqrt{3x ^{5}y ^{2}}\]
Can you see how the powers of the terms in x and y in the numerator can be reduced by this approach?

Answer 3

the it would be \[5x^2y \sqrt{3x}\] ?

Answer 4

Good work! You are correct. So now we have
\[\frac{5x ^{2}y \sqrt{3x}}{\sqrt{3xy}}\]
So what will we have if the numerator and the denominator are both divided by
\[\sqrt{3x}\]

Answer 5

\[\frac{ 5x^2y }{ \sqrt{y} }\] i duno?

Answer 6

Yes, you are correct. Finally divide the numerator and denominator by the square root of y so the answer is a single expression, not a quotient.

Answer 7

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

Answer 8

Excellent. You have got it. Good work!

Answer 9

thanks

Answer 10

You're welcome :)

Answer 11

thank u