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Operations on Rational and Irrational Numbers

Simplify: 9...

Question

Simplify: $9 \sqrt{5} - 3 \sqrt{5} + \sqrt{125}$

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Solution

Now,
$9 \sqrt{5} - 3 \sqrt{5} + \sqrt{125}$
$9 \sqrt{5} - 3 \sqrt{5} + \sqrt{25 \times 5}$
$= 9 \sqrt{5} - 3 \sqrt{5} + 5 \sqrt{5}$
$= 11 \sqrt{5}$ .

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