Which statement is true about the product square root of 2 (5 + square root of 8 )? (2 points)
a.It is rational and equal to 7.

b.It is rational and equal to 9.

c.It is irrational and equal to 4 + square root of 10 .

d.It is irrational and equal to 4 + 5 square root of 2 .

Respuesta :

Answer:

d

Step-by-step explanation:

when the equation is written out, you get [tex]\sqrt{2} (5+\sqrt{8} )[/tex] the square root of 8 can be rewritten as 2 times the square root of 2. if you distribute the root two into the parenthesis you get 5 root two plus 4, because two root two times two comes out to two times two which is four. so your answer is d, 4 + 5 sqrt 2