# How do you simplify #sqrt(1,440)#?

##### 2 Answers

Mar 9, 2018

#### Explanation:

#"note that " 1440=144xx10" and 144 is a perfect square"#

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrt(ab)=sqrtaxxsqrtb#

#rArrsqrt1440=sqrt(144xx10)#

#color(white)(xxxxxxx)=sqrt144xxsqrt10=12sqrt10#

Mar 9, 2018

#### Explanation:

When you are simplifying radicals, you need to find two numbers. Between those two numbers, one HAS to be a perfect square, or it does not simplify.

Here, we are given:

We can see here that there is an easy and more noticeable factorization:

Thankfully,

Therefore, are answer will be: