Question

How do you find the square root of 16/121?

Answer 1

`+-4/11`

Explanation:

`16" and " 121" are both " color(blue)"perfect squares"`

`"that is "16=4^2" and "121=11^2`

`"also "16=(-4)^2" and "121=(-11)^2`

`rArrsqrt(16/121)=+-4/11`

Answer 2

`+-4/11`

Explanation:

We have the following

`sqrt(16/121)` which is equivalent to:

`=+-sqrt16/sqrt121`

Notice, the numerator and denominator are both perfect squares, that is, we get a integer as an answer. This evaluates to:

`+-4/11`

NOTE: The `+-` sign comes from the fact that when we take the square root of a number, we get a positive and a negative number.

Hope this helps!