Math, asked by bhagya4090, 1 month ago

2) Rationalise the
denominator of 4/5√5​

Answers

Answered by MathHacker001
7

Question :-

\sf\bigstar{\:  \frac{4}{5 \sqrt{5} } } \\

Answer :-

Rationalizing

\sf\longrightarrow{ \frac{4}{5 \sqrt{5} } \times  \frac{ \sqrt{5} }{ \sqrt{5} }  } \\  \\ \sf\longrightarrow{ \frac{4 \sqrt{5} }{5 \sqrt{5 } \times  \sqrt{5}  }  } \\  \\ \sf\longrightarrow{ \frac{4 \sqrt{5} }{5 \sqrt{25} }  } \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf\longrightarrow{ \frac{4 \sqrt{5} }{5(5)}  }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \bf\longrightarrow \red{  \frac{4 \sqrt{5} }{25}  } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

After rationalizing we get  \frac{4 \sqrt{5} }{25} \\   .

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