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

2 Answers
Jan 24, 2016

sqrt 3/4
or 0.433

Explanation:

sqrt (3/10).sqrt (5/8)

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

sqrt (3/10. 5/8)
or simplifying we obtain sqrt (3/cancel10_2. cancel5^1/8)
=sqrt (3/2. 1/8)
Multiplying the numerators and denominators respectively
=sqrt (3/16)
Now we know that sqrt 16=4, we obtain
=sqrt 3/4
Inserting the value of sqrt 3=1.732 in the numerator and dividing with the denominator, we obtain

Jan 24, 2016

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