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If \( \Large a^{2}+b^{2}=24,\ ab=4 \) find the value of \( \Large \left(a-b\right) \)
A) 4
B) 6
C) 3
D) 2
Correct answer:
A) 4
Description for Correct answer:
\( \Large \left(a-b\right)^{2} = a^{2}+b^{2}-2ab \)
=\( \Large 24 - 2 \times 4 = 24 - 8 =16 \)
Therefore, \( \Large \left(a-b\right)^{2} = 16 \)
\( \Large a-b = \sqrt{16} = 4 \)
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