Question

Simplify √72 plus √800-√18.

Answer 1

Answer:

29.22

Step-by-step explanation:

root 782 - root 18= root 784 + root 72 = 29.22

Answer 2

Answer:

$23 \sqrt{2}$

Step-by-step explanation:

$\sqrt{72} = 3 \sqrt{8} \\ \sqrt{800} = 10 \sqrt{8} \\ \sqrt{18} = 3 \sqrt{2}$

On substituting,

$\sqrt{72} + \sqrt{800} - \sqrt{18} \\ = 3 \sqrt{8} + 10 \sqrt{8} - 3 \sqrt{2} \\ = 13 \sqrt{8} - 3 \sqrt{2}$

We can add only like terms.i.e. only if tge squareroots are same.

$\sqrt{8} = 2 \sqrt{2}$

On substituting,

$13 \times 2 \sqrt{2} - 3 \sqrt{2} \\ = 26 \sqrt{2} - 3 \sqrt{2} \\ = 23 \sqrt{2}$

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Hope it helps....!

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