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Find the value of k in the equation: \(\sqrt{28} + \sqrt{112} - \sqrt{k} = \sqrt{175}\)

Mathematics
JAMB 2019

Find the value of k in the equation: \(\sqrt{28} + \sqrt{112} - \sqrt{k} = \sqrt{175}\)

  • A. \(\sqrt{28}\)
  • B. 7
  • C. 28
  • D. \(\sqrt{7}\)
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Correct Answer: Option B
Explanation

\(\sqrt{28} + \sqrt{112} - \sqrt{k} = \sqrt{175}\)

\(\sqrt{4 \times 7} + \sqrt{16 \times 7} - \sqrt{k} = \sqrt{25 \times 7}\)

\(2\sqrt{7} + 4\sqrt{7} - \sqrt{k} = 5\sqrt{7}\)

\(6\sqrt{7} - 5\sqrt{7} = \sqrt{k}\)

\(\sqrt{k} = \sqrt{7}\)

\(\implies k = 7\)

There is an explanation video available below.


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Explanation Video

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