Question

simplify 4 times the square root of 6 divided by the square root of 30 by rationalizing the denominator. show your work.

Answer 1

4*
`√(5)`/5

Explanation:

(4*
`√(6)`)/
`√(30)`

This is my interpretation, although the question could also be interpreted as 4 * (
`√(6)/√(30)`)

Multiply the nominator and denominator by sqrt 30

4* sqrt 6 * sqrt 30/ 30

4 * sqrt 6 * sqrt 6 * sqrt 5/30

24*sqrt 5 / 30

4*sqrt5/5