Question

UI
TUIN
21 Simplify (24)1/2/8+(54)72/9​

Answer 1

24÷2/8+54×72/9

24×8/2+54×8

24×4+432

96+432=528

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

$\sf{ \frac{ \sqrt{24} }{8} + \frac{ \sqrt{54} }{9} }$

$\sf{ = \frac{ \sqrt{4 \times 6} }{8} + \frac{ \sqrt{9 \times 6} }{9} }$

$\sf{ = \frac{2 \sqrt{6} }{8} + \frac{3 \sqrt{6} }{9} }$

$\sf{ = \frac{ \sqrt{6} }{4} + \frac{ \sqrt{6} }{3} }$

$\sf{ = \sqrt{6} \bigg( \frac{1}{4} + \frac{1}{3} \bigg) }$

$\sf{ = \sqrt{6} \bigg( \frac{3 + 4}{12} \bigg) }$

$\sf{ = \frac{7 \sqrt{6} }{12} \: \bf{Ans. }}$