Question

# Show how $$\sqrt 5$$ can be represented on the number line.

Solution

## $$\sqrt{5}=\sqrt{4+1}$$Here $$4$$ and $$1$$ both are perfect square. Number as $$\sqrt{4}=2$$ and $$\sqrt{1}=1$$So draw a right angle triangle with side $$2$$ and $$1$$.And according to Pythagoras theorem will be $$2^2+1^2=5$$ MathematicsRS AgarwalStandard IX

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