Question

Simplify square root of five times the quantity six minus four square root of three.

Answer 1

To simplify the square root of five times the quantity six minus four square root of three, you can distribute the square root of five, simplify each term, and combine them.

Step-by-step explanation:

To simplify the expression square root of five times the quantity six minus four square root of three, we can follow these steps:

1. Distribute the square root of five to both terms inside the parentheses: √(5)(6) - √(5)(4√(3))
2. Simplify the first term: 6 √(5)
3. Simplify the second term by multiplying the numbers inside the square root: 4√(15)
4. Combine the two terms: 6 √(5) - 4 √(15)

So, the simplified expression is 6 √(5) - 4√(15).