Analyse and assess the positive square root of 50+48

# Analyse and assess the positive square root of $\sqrt{50}+\sqrt{48}$

1. A

13.457

2. B

13.256

3. C

13.998

4. D

13.555

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### Solution:

To find the positive value of

By taking LCM,

$2\left|50\right|$

$5\left|25\right|$

50=2$×$5$×$5

similarly,

$2\left|48\right|$

$2\left|24\right|$

$2\left|12\right|$

48=2$×$2$×$2$×$2$×$3

$⇒\sqrt{50}+\sqrt{48}=\sqrt{2×5×5}+\sqrt{2×2×2×2×3}$

$=5\sqrt{2}+2×2\sqrt{3}$

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

$=5×1.414+4×1.732$

$=7.07+6.928$

$\sqrt{50}+\sqrt{48}=13.998$

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