# How do you simplify #sqrt( 3/10) *sqrt(5/8)#?

##### 2 Answers

Jan 24, 2016

#### Answer:

or

#### Explanation:

Since both fractions are square roots, therefore, taking both fractions under the same root sign

or simplifying we obtain

Multiplying the numerators and denominators respectively

Now we know that

Inserting the value of

Jan 24, 2016

#### Answer:

# 1/4 sqrt3 #

#### Explanation:

Using the following :

# • sqrta xx sqrtb = sqrtab hArr sqrtab = sqrta xx sqrtb #

# sqrt( 3/10). sqrt(5/8) = sqrt(3/10 xx 5/8) = sqrt(15/80 #

# = sqrt(3/16) = sqrt3/sqrt16 = sqrt3/4 =1/4 sqrt3 #