Question

How do you simplify `(16sqrt21) / (2sqrt7)`?

Answer 1

`8sqrt3`

Explanation:

`"using the "color(blue)"law of radicals"`

`•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)`

`rArr16/2xxsqrt21/sqrt7=8xxsqrt(21/7)=8sqrt3`

Answer 2

`(16sqrt21)/(2sqrt7)=13.856`

Explanation:

Given -

`(16sqrt21)/(2sqrt7)`

`16/2xxsqrt21/sqrt7`

`16/2xx(sqrt21)^2/(sqrt7)^2`

`16/2xx21/7`

`8xxsqrt3=8 xx 1.732=13.856`

`(16sqrt21)/(2sqrt7)=13.856`