What is the square root of 84?

1 Answer
Mar 10, 2018

+-2sqrt21

Explanation:

We can break down sqrt84 into the following:

sqrt4*sqrt21

We are able to do this because of the property sqrt(ab)=sqrta*sqrtb

Where we can separate the radical into the product of the square root of its factors. 21 and 4 are factors of 84.

In sqrt4*sqrt21, we can simplify to get:

+-2sqrt21

*NOTE: The reason we have a+-sign is because the square root of 4 can be positive or negative 2.

sqrt21 has no perfect squares as factors, so this is the most we can simplify this expression.