Respuesta :

Answer:

B.  7√10.

Step-by-step explanation:

√40 = √4√10 = 2√10

√90 = √9√10 = 3√10

So √40 + 2√10 + √90

=  2√10 + 2√10 + 3√10

= 7 √10.

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

[tex] \sqrt{40} + 2 \sqrt{10} + \sqrt{90} [/tex]

We need to remove the perfect square from the first and third term.

[tex]\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10} [/tex]

We now share the radical sign to get;

[tex] \sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10} [/tex]

Simplify to get;

[tex]2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10} [/tex]

This simplifies to

[tex]7 \sqrt{10} [/tex]