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Question

To represent a rational number $$\sqrt{2}$$ on number line, take sides of right triangle as:

A
$$1$$ and $$1$$
B
$$1$$ and $$2$$
C
$$2$$ and $$0$$
D
$$-1$$ and $$-1$$
Solution
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Correct option is A. $$1$$ and $$1$$
Notice that $$\sqrt{2}= \sqrt{(1^2 + 1^2)}$$. So, we can form a length of $$\sqrt{2}$$ units using two mutually perpendicular sides of length $$1$$ unit each. (Since, $$1,1,\sqrt{2}$$ form sides of a right angled triangle by Pythagoras theorem).

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