Answer:The square root of 5(m + 2)³ = (m + 2)√(5m + 10)Step-by-step explanation:* Lets think about how to change the root to the power- We can change √x to x^(1/2) # The number of the radical is the denominator of the fraction and the power of the base under the radical is the numerator of the fraction - We can change √(x³) to x^(3/2)* In our problem we have √[5(m + 2)³]- Lets take the bracket (m + 2)³ # The bracket (m + 2)³ means (m + 2) × (m + 2) × (m + 2)- So we can write it ⇒ (m + 2)²(m + 2)* Now lets write the problem again with new factors- √[5(m + 2)²(m + 2)]∵ √(m + 2)² = [(m + 2)²]^1/2- Multiply the power 2 by the power 1/2 and the answer is 1∴ √(m + 2)² = (m + 2)∴ √[5(m + 2)³] = (m + 2)√[5(m + 2)] = (m + 2)√(5m + 10)* The square root of 5(m + 2)³ = (m + 2)√(5m + 10)