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Simplify A) root45+root80-3 root20 B)7 root6-root252-root …

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Simplify A) root45+root80-3 root20 B)7 root6-root252-root 294+6 root7 C)4 root28 +3 root7

Posted by Vikash Kumar 5 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Rajan Kumar Pasi 5 years, 3 months ago

{tex}\huge{Q.\ Simplify,}\\ \huge { A) \sqrt{45}+\sqrt{80}-3\sqrt{20}}\\ \huge {B)7\sqrt{6}-\sqrt{252}-\sqrt{294}+6\sqrt{7}}\\ \huge{ C)4\sqrt{28} +3\sqrt{7} }\\{/tex}

Sol:

{tex}\large{A)\ \sqrt{45}+\sqrt{80}-3\sqrt{20}}\\ \large{=>\ \sqrt{9\times5}+\sqrt{16\times5}-3\sqrt{4\times5}}\\ \large{=>\ 3\sqrt{5}+4\sqrt{5}-3\times2\sqrt{5}}\\ \large{=>\ 3\sqrt{5}+4\sqrt{5}-6\sqrt{5}}\\ \large{=>\ (3+4-6)\sqrt{5}}\\ \large{=>\ (1)\sqrt{5}=>\boxed{\sqrt5}}\\{/tex}	{tex}\large{B)\ 7\sqrt{6}-\sqrt{252}-\sqrt{294}+6\sqrt{7}}\\ \large{=>\ 7\sqrt{6}-\sqrt{7\times6\times6}-\sqrt{6\times7\times7}+6\sqrt{7}}\\ \large{=>\ 7\sqrt{6}-6\sqrt{7}-7\sqrt{6}+6\sqrt{7}}\\ \large{=>\boxed{0}}\\{/tex}
{tex}\large{C)\ 4\sqrt{28}+3\sqrt{7}}\\ \large{=>\ 4\sqrt{7\times4}+3\sqrt{7}}\\ \large{=>\ 4\times2\sqrt{7}+3\sqrt{7}}\\ \large{=>\ 8\sqrt{7}+3\sqrt{7}}\\ \large{=>\ (8+3)\sqrt{7}}\\ \large{=>\boxed{11\sqrt7}}\\{/tex}	Do something by yourself too, not every question is hard.

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