Question

What is the product? assume x>0 (√3x + √5) (√15x +2√30

Answer 1

Answer: B: 3x√5+6√10x+5√3x+10√6x

Explanation:

Answer 2

The first step for solving this expression is to multiply the parenthesis.

`√(45) x^(2) + 2√(90) x + √(75)x + 2√(150)`
Simplify the first radical.

`3√(5) x^(2) + 2√(90) x + √(75)x + 2√(150)`
Simplify the second radical.

`3√(5) x^(2) + 2X3√(10) x + √(75)x + 2√(150)`
Simplify the third radical.

`3√(5) x^(2) + 2X3√(10) x + 5√(3)x + 2√(150)`
Simplify the final radical.

`3√(5) x^(2) + 2X3√(10) x + 5√(3)x + 10√(6)`
Lastly,, calculate the product of 2 × 3
`√(10)`x to get your final answer.

`3√(5) x^(2) + 6√(10) x + 5√(3)x + 10√(6)`
Let me know if you have any further questions.
:)