Use the distributive property to multiply √5 by 2√10 + 3√15.
2√5√10+3√5√15
Factor 10=5×2. Rewrite the square root of the product √5×2 as the product of the square roots √5√2.
2√5√5√2+3√5√15
Multiply √5 and √5 to get 5.
2×5√2+3√5√15
Multiply 2 and 5 to get 10.
10√2+3√5√15
Factor 15=5×3. Rewrite the square root of the product √5×3 as the product of the square roots √5√3.
10√2+3√5√5√3
Multiply √5 and √5 to get 5.
10√2+3×5√3
Multiply 3 and 5 to get 15.
10√2+15√3
Michael Spymore