Question

Ratonalise the denominator
I) √75/√18
ii) 3√5/√6​

Answer 1

Answer:

$1) = \: \: \frac{ \sqrt{75} }{ \sqrt{18} } \\ \\ \: \: \: \: \: = \frac{5 \sqrt{3} }{3 \sqrt{2} } \\ \\ \: \: \: \: \: = \frac{5 \sqrt{3} \times 3 \sqrt{2} }{3 \sqrt{2} \times 3 \sqrt{2} } \\ \\ \: \: \: \: = \frac{15 \sqrt{6} }{18} \\ \\ \\ 2) \: = \frac{3 \sqrt{5} }{ \sqrt{6} } \\ \\ \: \: \: \: \: = \frac{3 \sqrt{5} \times \sqrt{6} }{ \sqrt{6} \times \sqrt{6} } \\ \\ \: \: \: \: \: = \frac{3 \sqrt{30} }{6} \\ \\ \: \: \: \: \: = \frac{ \sqrt{30} }{2}$

Step-by-step explanation:

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