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Question

Rationalise the denominator of $$\frac{1}{{\sqrt 2 }}$$.


Solution

Solution -
Rationalise the denominater $$\dfrac{1}{\sqrt  {2}}$$

$$=\dfrac{1}{\sqrt 2} \times \dfrac{\sqrt 2}{\sqrt 2}$$

$$=\dfrac{\sqrt 2}{\sqrt{2\times 2}}=\dfrac{\sqrt 2}{\sqrt 2^{2}}=\dfrac{\sqrt 2}{2}$$

1092221_1179571_ans_d32fef5a5fa145adac6794d1b5d875e8.png

Mathematics

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