# How do you simplify #sqrt150 + sqrt 40#?

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify √150 + √40, we can break down the square roots into their simplest forms and then combine like terms.

First, we find the prime factorization of 150 and 40: 150 = 2 × 3 × 5^2 40 = 2^3 × 5

Next, we simplify the square roots: √150 = √(2 × 3 × 5^2) = 5√6 √40 = √(2^3 × 5) = 2√10

Finally, we combine the like terms: 5√6 + 2√10 is the simplified form of √150 + √40.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7