(≤ft({3{6}+{54}}{{5}(3{5})})^{-1}

Correct Answer is : 5612{5{6}}{12}1256

Correct Answer is : 5612{5{6}}{12}1256

Test Index

WAEC Further Mathematics 2022 Paper

Question : 2

Total: 45

(

\left(\frac{3\sqrt{6}+\sqrt{54}}{\sqrt{5}(3\sqrt{5})}\right)^{-1}

Solution:

( $\left(\frac{3\sqrt{6}+\sqrt{54}}{\sqrt{5}(3\sqrt{5})}\right)^{-1}$

= $\frac{\sqrt{5}(3\sqrt{5})}{3\sqrt{6}+3\sqrt{6}}$

= $\frac{3\cdot5}{6\sqrt{6}} = \frac{5}{2\sqrt{6}}$

= $\frac{5\cdot2\sqrt{6}}{2\sqrt{6}+2\sqrt{6}} = \frac{10\sqrt{6}}{4\cdot6}$

= $\frac{5\sqrt{6}}{12}$

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