How do you simplify sqrt16/sqrt8?

2 Answers
Apr 26, 2018

=sqrt2

Explanation:

sqrt16/sqrt8 Multiply the fraction by 1 as sqrt8/sqrt8:
=sqrt(16*8)/8 Factor 16 and 8:
=sqrt((2*2*2*2))*(2*2*2) Factor out the three pairs of twos:
=8sqrt2/8
=sqrt2

OR, if you want to do it the simple way:
sqrt16/sqrt8
=sqrt(16/8)
=sqrt2
Sorry, forgot you could divide them xD ^^

Apr 26, 2018

sqrt2

Explanation:

Simplify the square roots

sqrt16/sqrt8 = 4/(sqrt4sqrt2) = 4/(2sqrt2)

Rearrange the equation so there is no square root in the denominator

4/(2sqrt2)sqrt2/sqrt2 = (4sqrt2)/(2⋅2) = (4sqrt2)/4

The fours cancel out and you are left with sqrt2