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Operations on Irrational Number

The value of ...

Question

The value of $\sqrt{2} + 3 \sqrt{2} + 5 \sqrt{3}$

A

4 \sqrt{2} + 5 \sqrt{3}

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B

9 \sqrt{2}

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C

9 \sqrt{3}

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D

4 \sqrt{3} + 5 \sqrt{2}

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Solution

The correct option is A $4 \sqrt{2} + 5 \sqrt{3}$
$\sqrt{2} + 3 \sqrt{2} + 5 \sqrt{3}$
$= 4 \sqrt{2} + 5 \sqrt{3}$
Now, we cannot add $4 \sqrt{2}$ and $5 \sqrt{3}$ because they have different radicands.

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