\(\sqrt{100}+\sqrt{49}=? \)

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  1. \(\sqrt{149} \)
  2. \(\sqrt{4900} \)
  3. \(\sqrt{10}+\sqrt{7} \)
  4. \(\sqrt{289} \)

Answer (Detailed Solution Below)

Option 4 : \(\sqrt{289} \)
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Detailed Solution

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Given:

\(\sqrt{100} + \sqrt{49} \)

Formula used:

\(\sqrt{a} + \sqrt{b} = x\) , where a and b are perfect squares

Calculation:

\(\sqrt{100} = 10 \)

\(\sqrt{49} = 7 \)

\(10 + 7 = 17\)

⇒ \(\sqrt{100} + \sqrt{49} = 17\)

⇒ 17 = \(\sqrt{289} \)

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