Analyse and assess the positive square root of 50+48 - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

To find the positive value of $\sqrt{50} + \sqrt{48} \to$

By taking LCM,

$2 |50|$

$5 |25|$

$5 |5|$

$|1|$

50=2 $\times$ 5 $\times$ 5

similarly,

$2 |48|$

$2 |24|$

$2 |12|$

$2 |6|$

$3 |3|$

$|1|$

48=2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3

$\Rightarrow \sqrt{50} + \sqrt{48} = \sqrt{2 \times 5 \times 5} + \sqrt{2 \times 2 \times 2 \times 2 \times 3}$

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

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

$\sqrt{2} = 1.414 \sqrt{3} = 1.732$

$= 5 \times 1.414 + 4 \times 1.732$

$= 7.07 + 6.928$

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

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