# What is square root of 0.01 + square root of 0.0064?

##### 1 Answer

Sep 15, 2015

#### Explanation:

You know that

#0.01 = 1/100" "# and#" "0.0064 = 64/10000#

This means that you can write

#sqrt(0.01) = sqrt(1/100)= sqrt(1)/sqrt(100) = 1/10#

and

#sqrt(0.0064) = sqrt(64/10000) = sqrt(64)/sqrt(10000) = 8/100#

The original expression is thus equal to

#sqrt(0.01) + sqrt(0.0064) = 1/10 + 8/100 = (10 + 8)/100 = color(green)(18/100)#