Question

Rationalised the denominator 3÷2√5​

Answer 1

QUESTION :

RATIONALISE THE DENOMINATOR

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

ANSWER :

IN ORDER TO RATIONALISE, WE USE THE RATIONALISING FACTOR.

$2 \sqrt{5} \\ (rationalising \: factor)$

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

MULTIPLYING NUMERATOR AND DENOMINATOR WITH RATIONALISE FACTOR.

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

$\frac{6×root5}{ {2 \sqrt{5} }^{2} }$

$\frac{6 \sqrt{5} }{4 \times 5}$

$\frac{6 \sqrt{5} }{20}$

$\frac{3 \sqrt{5} }{10} \\ (simplest \: form)$