Question

Which choice is equivalent to the expression below?

Answer 1

B. 7√10.

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

B. 7√10

EXPLANATION

The given radical expression is:

`√(40) + 2 √(10) + √(90)`

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

`√(4 * 10) + 2 √(10) + √(9 * 10)`

We now share the radical sign to get;

`√(4) * √(10) + 2 √(10) + √(9) * √(10)`

Simplify to get;

`2√(10) + 2 √(10) + 3 √(10)`

This simplifies to

`7 √(10)`