Question

√50 - √98 + √162
= ?​

Answer 1

Answer:

√50-98+162

√114

10.677

Answer 2

$\large\sf\blue{\sqrt{50} - \sqrt{98} + \sqrt{162}}$

$\implies$$\small\sf\red{\sqrt{2 \times 5 \times 5} - \sqrt{2 \times 7 \times 7} + \sqrt{2 \times 3 \times 3 \times 3 \times 3}}$

$\implies$$\small\sf\red{\sqrt{2} \times \sqrt{25} - \sqrt{2} \times \sqrt{49} + \sqrt{2} \sqrt{9} \sqrt{9}}$

$\implies$$\large\sf\red{5 \sqrt{2} - 7 \sqrt{2} + 3 \times 3 \sqrt{2}}$

$\implies$$\large\sf\red{5 \sqrt{2} - 7 \sqrt{2} + 9 \sqrt{2}}$

$\implies$$\large\sf\red{\sqrt{2} (5 - 7 + 9)}$

$\implies$$\large\sf\red{ \sqrt{2} (11)}$

$\implies$$\large\sf\red{11 \sqrt{2}}$