Question

Simplify the expression 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 .

Answer 1

Answer: Your answer would be A.

I hope this helps!

Answer 2

A

Explanation:

Simplify the expression by reducing the square roots if possible:

`2√(20) -3√(7) -2√(5) +4√(63) \\\\2√(4*5)-3√(7)  -2√(5) +4√(7*9) \\\\2*2√(5) -3√(7) -2√(5) +4*3√(7)\\\\ 4√(5) -2√(5) -3√(7)+12√(7)  \\\\2√(5) +9√(7)`

Since 4 and 9 are factors within the square root and perfect squares themselves, they can be removed to outside the square root. This simplifies the roots into two types
`√(5)` and
`√(7)`. To combine like terms, subtract the coefficients in front of them.

A is the solution.