# How do you simplify #sqrt50/(3sqrt2)#?

##### 3 Answers

Apr 15, 2018

#### Explanation:

Apr 15, 2018

#### Explanation:

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

#â€¢color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#rArrsqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2#

#rArr(sqrt50)/(3sqrt2)=(5cancel(sqrt2))/(3cancel(sqrt2))=5/3#

Apr 15, 2018

#### Explanation:

Let's start by thinking about the number

#25# and#2# #10# and#5#

So the factors of

#color(blue)(sqrt25)# and#color(blue)(sqrt2)# #sqrt10# and#sqrt5#

We can use the first set of factors to rewrite our expression as

The

Which can be simplified to

Hope this helps!