Question

Simplify square root of 1008 ( V` Represents the square root sign.)

A. 18 V`3

B. 12 V`7

C. 12 V`6

D. 11 V`7

Answer 1

so first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do

`√(xy)= √(x) √(y)` so

`√(1008)= (√(2*2)) (√(2*2)) (√(3*3)) (√(7))`=
2*2*3*
`√(7)`=
12√7

the answer is B