Math, asked by jitenderthakur34, 3 months ago

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Answered by ADARSHBrainly
16

Solution :-

 \sqrt{ \cfrac{3a}{2}  \bigg(\cfrac{3a }{2} - a \bigg) \bigg(\cfrac{3a }{2} - a \bigg)   \bigg(\cfrac{3a }{2} - a \bigg) }

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) }

 \sqrt{ \cfrac{3a}{2}  \bigg(\cfrac{a }{2}  \bigg) \bigg(\cfrac{a}{2}  \bigg)   \bigg(\cfrac{a }{2}  \bigg) }

 \implies \sqrt{ 3 \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2}  \bigg) \bigg(\cfrac{a}{2}  \bigg)   \bigg(\cfrac{a }{2}  \bigg) }

 \implies  \bigg(\cfrac{a}{2} \bigg) \bigg(\cfrac{a }{2}  \bigg) \sqrt{ 3 }

 \implies  \cfrac{a}{2}  \times\cfrac{a }{2}   \times \sqrt{ 3 }

\implies  \cfrac{a^{2} }{4} \times \sqrt{ 3 }

{\large{  \underline{  \overline{ \boxed{ \bf{ \red{\implies  \frac{  \sqrt{3}    a^{2} }{4}}}}}}}}


ADARSHBrainly: If you have any dought related to answer, you can directly ask to me !
jitenderthakur34: but how I can ???
jitenderthakur34: adarsh brainly
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ADARSHBrainly: Or by Inbox !
jitenderthakur34: O wow thanks adarsh ji
Answered by thakurkhushi2405
6

I hope it helps

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

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