Question

Simplify square root 3 (square root 6+square root 15)

Answer 1

To simplify the expression, distribute the square root of 3 and then combine like terms.

Step-by-step explanation:

To simplify the expression √3(√6+√15), we can distribute the square root of 3 to each term inside the parentheses. This gives us:

√3(√6+√15) = √3 * √6 + √3 * √15

Next, we can simplify each term by finding the square roots and combining like terms:

√3 * √6 + √3 * √15 = √18 + √45

Finally, we can simplify further by finding the square roots of 18 and 45:

√18 + √45 = 3√2 + 3√5