Question

rationalise the denominator of √3 upon 2√5

Answer 1

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Rationalize the denominator of √3 upon 2√5

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

\bold{Answer =\:\frac{3\sqrt{5} }{10}}}

We will multiply numerator and denominator of the given expression:-

$\frac{3}{2\sqrt{5} } \: by \: \sqrt{5} \: to \: get$

$\frac{3}{2\sqrt{5} } \: \times \:\frac{\sqrt{5} }{\sqrt{5} } \: = \:\frac{3\sqrt{5} }{2\sqrt{5 \: \times \: \sqrt{5} } }$

$=\frac{3\sqrt{5} }{2 \: \times \: 5}$

$\bold {Answer=\:\frac{3\sqrt{5} }{10}}}$

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Answer 2

Answer:

✿Answer:

We will multiply numerator and denominator of the given expression:-

$\frac{3}{2\sqrt{5} } \: by \: \sqrt{5} \: to \: get \: 253 \: by \: 5 \: to \: get \\ \\frac{3}{2\sqrt{5} } \: \times \:\frac{\sqrt{5} }{\sqrt{5} } \: = \:\frac{3\sqrt{5} }{2\sqrt{5 \: \times \: \sqrt{5} } } \\ \\ =\frac{3\sqrt{5} }{2 }$

$\bold {Answer=\:\frac{3\sqrt{5} }{10}}}$