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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
2\sqrt7- \(\frac{14}{\sqrt7} + \frac{7}{\sqrt21}\)
L.C.M is \sqrt21
\(\frac{\sqrt21 * 2\sqrt7 - \sqrt3 *14 + 7}{\sqrt21}\)
=\(\frac{2 * 7\sqrt3 - 14\sqrt3 + 7}{\sqrt21}\)
= \(\frac{14\sqrt3 - 14\sqrt3 + 7}{\sqrt21}\)
=\(\frac{7}{\sqrt21}\)
or
\(\frac{7 \times \sqrt21}{\sqrt21 \times \sqrt21}\)
= \(\frac{7 \times \sqrt21}{21}\) or \(\frac{\sqrt21}{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #61165)