Question

What is the simplest form of the expression?
sqrt 625x^20y^8

Answer 1

$\sqrt {625x^{20}y^8} = 25x^{10}y^4$

Answer 2

We have to simplify the expression , it means

we have to try to factor every number and and every variable , and try to factor out those which can be factored out from the square root

first number is 625

Lets try to write prime factors of 625

625 = 5*5*5*5

Next are x^20 and y^8

Now square root will divide each exponent by 2

So we get

$\sqrt{625x^20y^8}$

= $\sqrt{5*5*5*5*x^{20}y^8}$

=$\sqrt{5^4x^{20}y^8}$

=$5^2 x^{10} y^4$

= $=25x^{10} y^4$

So this is the answer.