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The value of √8 + √18 is:
Question

The value of √8 + √18 is:

A.

√26

B.

12

C.

5√2

D.

2(√2+√3)

Correct option is C

Given:

8+18\sqrt{8} + \sqrt{18}​​

Solution:

8+18=(4×2)+(9×2)=22+32=2(2+3)Taking 2 common from both=2×5=52\sqrt{8} + \sqrt{18}\\= \sqrt{(4 \times 2)} + \sqrt{(9 \times 2)}\\= 2 \sqrt{2} + 3 \sqrt{2}\\= \sqrt{2} (2 + 3) \text{Taking } \sqrt{2} \text{ common from both}\\= \sqrt{2} \times 5\\= 5 \sqrt{2}​​

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