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Gennadij [26K]
3 years ago
7

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

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0

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}

Tema [17]3 years ago
5 0
The simplified expression is 2sqrt(5)+9sqrt(7)
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