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Answers
Solution :-
Taking LCM of 2 and 1 in multiplicative section of 3a/2 (-a).
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Solution :-
\sqrt{ \cfrac{3a}{2} \bigg(\cfrac{3a }{2} - a \bigg) \bigg(\cfrac{3a }{2} - a \bigg) \bigg(\cfrac{3a }{2} - a \bigg) }
2
3a
(
2
3a
−a)(
2
3a
−a)(
2
3a
−a)
Taking LCM of 2 and 1 in multiplicative section of 3a/2 (-a).
\sqrt{ \cfrac{3a}{2} \bigg(\cfrac{3a - 2a }{2} \bigg) \bigg(\cfrac{3a - 2a}{2} \bigg) \bigg(\cfrac{3a - 2a }{2} \bigg) }
2
3a
(
2
3a−2a
)(
2
3a−2a
)(
2
3a−2a
)
\sqrt{ \cfrac{3a}{2} \bigg(\cfrac{a }{2} \bigg) \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2} \bigg) }
2
3a
(
2
a
)(
2
a
)(
2
a
)
\implies \sqrt{ 3 \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2} \bigg) \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2} \bigg) }⟹
3(
2
a
)(
2
a
)(
2
a
)(
2
a
)
\implies \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2} \bigg) \sqrt{ 3 }⟹(
2
a
)(
2
a
)
3
\implies \cfrac{a}{2} \times\cfrac{a }{2} \times \sqrt{ 3 }⟹
2
a
×
2
a
×
3
\implies \cfrac{a^{2} }{4} \times \sqrt{ 3 }⟹
4
a
2
×
3
{\large{ \underline{ \overline{ \boxed{ \bf{ \red{\implies \frac{ \sqrt{3} a^{2} }{4}}}}}}}}
⟹
4
3
a
2