Question

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

Answer 1

The simplified expression is 2sqrt(5)+9sqrt(7)

Answer 2

The simplified form is,

`\boxed{\boxed{6√(5)+9√(7)}}`

Explanation:

The given expression is,

`=2√(20)-3√(7)+2√(5)+4√(63)`

`=2√(4* 5)-3√(7)+2√(5)+4√(9* 7)`

`=2(√(4)* √(5))-3√(7)+2√(5)+4(√(9)* √(7))`

`=2(2* √(5))-3√(7)+2√(5)+4(3* √(7))`

`=4√(5)-3√(7)+2√(5)+12√(7)`

`=4√(5)+2√(5)+12√(7)-3√(7)`

`=6√(5)+9√(7)`