Question

Find the simplest Rationalising factor of √250

Answer 1

SOLUTION

TO DETERMINE

The simplest rationalising factor of

$\sf{ \sqrt{250} }$

EVALUATION

Here the given surd is

$\sf{ \sqrt{250} }$

Now

$\sf{ \sqrt{250} }$

$\sf{ = \sqrt{2 \times 5 \times 5 \times 5} }$

$\sf{ = 5\sqrt{2 \times 5 } }$

$\sf{ = 5\sqrt{10 } }$

So the required rationalising factor is

$\sqrt{10}$

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