How do you simplify sqrt(5/4)?

2 Answers
Feb 13, 2016

sqrt(5)/2

Explanation:

Write as :" " (sqrt(5))/(sqrt(4)) " "=" "(sqrt(5))/(sqrt(2^2)) " "=" " 1/2xxsqrt(5)

Or " "sqrt(5)/2

Feb 13, 2016

sqrt5/2

Explanation:

sqrt5/(4)

since sqrt(a/b) = sqrta/sqrtb,

we can evaluate first the numerator, the upper part of a fraction

sqrt5, as it is not a "perfect square", perfect squares are like
2 * 2=4
3*3=9
4*4=16
and so on...

since sqrt5 is not a perfect square, it will still remain not simplified.

then we proceed to the denominator, the lower part of a fraction.
sqrt4

since 4 is a perfect square, 2*2=4

we can get sqrt4 = 2,

plugging all the answers, we get

= sqrt5/2

:)