Question

HELP PLEASE!!!! What is the product? Assume x> 0. ( square root of 3x + square root of 5) ( square root of 15x + 2 square root of 30)

Answer 1

Let's see

• (√3x+√5)(√15x+2√30)
• √3x(√15x+2√30)+√5(√15x+2√30)
• √45x^2+2√90x+√75x+2√150
• √9×5x²+2√(9×10)x+√25×3x+2√150
• 3x√5+6√10x+5√3x+10√6

Option B

Answer 2

3x√5 + 5√3x + 6√10x + 10√6 (Option 2)

Explanation:

Applying the distributive property :

⇒ (√(3x) + √5)(√(15x) + 2√30)

⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)

⇒ √45x² + √75x + 2√90x + 2√150

⇒ 3x√5 + 5√3x + 6√10x + 10√6