Question

Simplify the radical (squ96)
I got this
2*48
3*32
4*24
6*16
8*12
12*8
16*6
@jdoe0001

Answer 1

hint:

\[\large \sqrt{96} = \sqrt{16*6}\]

Answer 2

@jim_thompson5910 u lost me but if @jdoe0001 can walk me though it

Answer 3

you factor 96 into two numbers where one is a perfect square

Answer 4

then you use the rule

\[\large \sqrt{x*y} = \sqrt{x}*\sqrt{y}\]

to simplify

Answer 5

thus \(\bf 96 = 2\times 2\times 2\times 2\times 2\times 3 \implies 2^2\times 2^2 \times 3 \implies (2\times 2)^2 \times 3 \implies 4^2\times 3\\
\quad \\

\sqrt{96} \implies \sqrt{4^2\times 3}
\)