Question

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

Answer 1

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

Answer 2

Answer:

The simplified form is,

$\boxed{\boxed{6\sqrt{5}+9\sqrt{7}}}$

Step-by-step explanation:

The given expression is,

$=2\sqrt{20}-3\sqrt{7}+2\sqrt{5}+4\sqrt{63}$

$=2\sqrt{4\times 5}-3\sqrt{7}+2\sqrt{5}+4\sqrt{9\times 7}$

$=2(\sqrt{4}\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(\sqrt{9}\times \sqrt{7})$

$=2(2\times \sqrt{5})-3\sqrt{7}+2\sqrt{5}+4(3\times \sqrt{7})$

$=4\sqrt{5}-3\sqrt{7}+2\sqrt{5}+12\sqrt{7}$

$=4\sqrt{5}+2\sqrt{5}+12\sqrt{7}-3\sqrt{7}$

$=6\sqrt{5}+9\sqrt{7}$