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

Respuesta :

Answer:

4*[tex]\sqrt{5}[/tex]/5

Step-by-step explanation:

(4*[tex]\sqrt{6}[/tex])/[tex]\sqrt{30}[/tex]

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

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