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Simplify 2√7- \(\frac{14}{√7} + \frac{7}{√21}\)

Mathematics
WAEC 2021

Simplify 2√7- \(\frac{14}{√7} + \frac{7}{√21}\)

  • A. \(\frac{√21}{21}\)
  • B. 7\(\frac{√21}{21}\)
  • C. \(\frac{√21}{3}\)
  • D. 3√21
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Correct Answer: Option C
Explanation

2√7-  \(\frac{14}{√7} + \frac{7}{√21}\)

L.C.M is √21

\(\frac{√21 * 2√7  - √3 *14  + 7}{√21}\)

=\(\frac{2 * 7√3 - 14√3 + 7}{√21}\)

= \(\frac{14√3 - 14√3 + 7}{√21}\)

=\(\frac{7}{√21}\)

or 

\(\frac{7 \times √21}{√21 \times √21}\) 

= \(\frac{7 \times √21}{21}\) or  \(\frac{√21}{3}\) 


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