Math, asked by rajeev12343, 6 months ago

rationalise the denominator 1/3√5​

Answers

Answered by prabhat311
3

Answer:

Explanation:

Rationalize the denominator (radicals cannot be in the denominator) by multiplying the numerator and denominator by 3−√5

13+√5

1⋅3−√5(3+√5)(3−√5)

(3+√5)(3−√5)=9−3√5+3√5−√25

9−3√5+3√5−√25=9−5=4

3−√54

Answered by Mehwish09
11

\huge\underline{\overline{\mid{\bold{\red{Question}}\mid}}}

Rationalize the denominator of

 \frac{1}{3 \sqrt{5} }

\huge\underline{\overline{\mid{\bold{\green{Answer}}\mid}}}

\frac{1}{3 \sqrt{5} }  \times  \frac{ \sqrt{5} }{ \sqrt{5} }

\frac{1 \times  \sqrt{5} }{3 \sqrt{5} \times  \sqrt{5}  }

 \frac{ \sqrt{5} }{3 \sqrt{5 \times 5} }

 \frac{ \sqrt{5} }{3 \sqrt{ {5}^{2} } }

 \frac{ \sqrt{5} }{3 \times 5}

 \frac{ \sqrt{5} }{15}

\huge{\bold{\blue{Hope \ this \ helps \ uh!!!}}}

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