Question

rationalize the denominator 30 by root 20 + root 5​

Answer 1

Answer:

$\frac{30}{ \sqrt{2} } + \sqrt{5} \\ denominator \: = \frac{30}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{30 \sqrt{2} }{2} = 15 \sqrt{2} \\ \\ = 15 \sqrt{2} + \sqrt{5}$

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\frac{30}{ \sqrt{20} + \sqrt{5} } = \frac{30}{ \sqrt{2 \times 2 \times 5} + \sqrt{5} } \\ \\ = \frac{30}{(2 \sqrt{5} + \sqrt{5})} = \frac{30}{3 \sqrt{5} } \\ \\ = \frac{30}{3 \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ = \frac{30 \sqrt{5} }{3 \times 5} = \frac{30 \sqrt{5} }{15} = 2 \sqrt{5}$