Question

Solve and show workings

3√/9 *27√

It's supose to be the square root of 3 over 9 time the quare root of 27.
i know the answer is 1 however i don't know how to get that answer. Any help would be appriciated. Thanks

Answer 1

(1/9) sqrt 3 * sqrt 27 ?
note 27 = 3^3 so sqrt 27 = 3^1.5

3^-2 * 3^.5 * 3^(1.5)

= 3^-2 * 3^+2

= 3^0 = 1

Answer 2

thankyou so much!