Question

How do you simplify `7sqrt32`?

Answer 1

`=28 sqrt2`

Explanation:

`7 sqrt 32`

We first prime factorise `32` ( express a number as a product of its prime factors)

`sqrt 32 = sqrt ( 2 * 2 * 2 * 2 * 2 ) = sqrt (2^2 * 2^2 * 2) = 2 * 2 * sqrt2 = color(blue)(4sqrt2`

`7 sqrt 32 = 7 * (color(blue)(4sqrt2))`

`=28 sqrt2`