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

Answer:

4*$\sqrt{5}$/5

Step-by-step explanation:

(4*$\sqrt{6}$)/$\sqrt{30}$

This is my interpretation, although the question could also be interpreted as 4 * ($\sqrt{6}/\sqrt{30}$)

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