Which statement is true about the difference 2 square root of 7 − square root of 28 ?

Group of answer choices

A) It is rational and equal to −2.

B) It is rational and equal to 0.

C) It is irrational and equal to −2 square root of 7 .

D) It is irrational and equal to square root of 7 .

Respuesta :

DeanR

I'll go slow:

[tex]2\sqrt 7 - \sqrt{28}[/tex]

[tex]=2 \sqrt 7 - \sqrt{4 \cdot 7}[/tex]

[tex]=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}[/tex]

[tex]=2 \sqrt7 - 2 \sqrt 7[/tex]

[tex]=0[/tex]

Answer: B  rational and equal to 0.