Question

rationalize
1) 1/√2
2) 1/7+3√2
​

Answer 1

Answer:

0.70701067

4.38547

.....

Answer 2

Answer:

$1) \: \frac{1}{ \sqrt{2} } \\ = \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{ \sqrt{2} }{2}$

$2) \frac{1}{7 + 3 \sqrt{2} } \\ = \frac{1}{7 + 3 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{ \sqrt{2} }{7 + 3 \times 2 } \\ = \frac{ \sqrt{2} }{7 + 6} \\ = \frac{ \sqrt{2} }{13}$

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