Question

Which choice is equivalent to the expression below?

Answer 1

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 2

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

$\sqrt{40} + 2 \sqrt{10} + \sqrt{90}$

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

$\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10}$

We now share the radical sign to get;

$\sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10}$

Simplify to get;

$2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10}$

This simplifies to

$7 \sqrt{10}$