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Write whether 2√45+3√20÷2√5

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Write whether 2√45+3√20÷2√5

Posted by Dilli Asritha 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

{tex}\frac{2\sqrt{45\;\;}+3\sqrt{20}}{2\sqrt5}{/tex}

{tex}\text{=}\frac{\displaystyle2\sqrt{5\times9}+3\sqrt{5\times4}}{2\sqrt5}{/tex}

{tex}=\frac{6\sqrt5+6\sqrt5}{2\sqrt5}{/tex}

{tex}=\frac{\displaystyle12\sqrt5}{2\sqrt5}{/tex}

{tex}=6=\frac61{/tex}

Hence the given number can be written in the form of {tex}\frac pq{/tex} where p and q are integers.

So the given expression is a rational number.

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Posted by Hari Anand 6 months, 2 weeks ago

CBSE > Class 10 > Mathematics

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Don't post personal information, mobile numbers and other details.
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Posted by Kanika . 1 month, 1 week ago

CBSE > Class 10 > Mathematics