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If  \(\rm\sqrt{50}\space + \sqrt{128}\space = \sqrt{N}\) then find the value of N.
1. 26
2. 390
3. 338
4. 182

1 Answer

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Correct Answer - Option 3 : 338

Given:

\(\rm√{50}\space + √{128}\space = √{N}\)

Calculation:

\(\rm√{50}\space + √{128}\space = √{N}\)

⇒ 5√2 + 8√2 = √N

⇒ 13√2 = √N

⇒ N = (13√2)2

⇒ N = (169 × 2)

⇒ N = 338

∴ The required value of N is 338

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