Question:
Simplify: \(\dfrac{\sqrt{50} + \sqrt{18}}{\sqrt{2}}\)
सरल कीजिए: \(\dfrac{\sqrt{50} + \sqrt{18}}{\sqrt{2}}\)
Options:
- 8
- 10
- 12
- 14
- 8
- 10
- 12
- 14
Correct Answer: a)
Explanation:
\(\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}\) and \(\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}\).
Numerator = \(5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}\).
Dividing by \(\sqrt{2}\): \(\dfrac{8\sqrt{2}}{\sqrt{2}} = 8\).
\(\sqrt{50} = 5\sqrt{2}\) और \(\sqrt{18} = 3\sqrt{2}\)।
अंश = \(5\sqrt{2} + 3\sqrt{2} = 8\sqrt{2}\)।
\(\sqrt{2}\) से भाग देने पर: \(\dfrac{8\sqrt{2}}{\sqrt{2}} = 8\)। विकल्प (a) सही है।