Question

Which expression is the simplified form of sqrt(72x^5y^4)

Answer 1

sqrt 72 = sqrt (36 * 2) = sqrt36*sqrt2 = 6 sqrt2

can you understand that?

Answer 2

i understand that part

Answer 3

and the square roots of x^5 and y^4 are found by dividing the indices by 2

Answer 4

eg sqrt x^5 = x^(5 /2)

Answer 5

you lost me

Answer 6

y^4 = y^2 * y^2 right?

(by the law of indices)

Answer 7

ok

Answer 8

y^a * y^b = y^(a+b)

Answer 9

so y^2 is square root of y^4

Answer 10

in similar way y^(5/2) * y(5/2) = y^5

to get the square root we divide the index ( or power) by 2