Whoever will solve this question I will mark them as the brainliest.....
Please help me with this question guys....
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ANSWER
=========
√12 + √27 + √108 + √75 + √147
=> √12 = √2 × √2 × √3 = 2√3 -------- 1
=> √27 = √3 × √3 × √3 = 3√3 -------- 2
=> √108 = √6 × √6 ×√3 = 6√3 --------- 3
=> √75 = √5 × √5 × √3 = 5√3 --------- 4
=>√147 = √7 × √7 × √3 = 7√3 --------- 5
Adding 1 , 2 , 3 , 4 and 5 , we get
=> 2√3 + 3√3 + 6√3 + 5√3 + 7√3
{ Taking common √3 }
=> √3 ( 2 + 3 + 6 + 5 + 7 )
=> √3 ( 23 )
=> 23√3 ANS
__________________________________
#BE BRAINLY
=========
√12 + √27 + √108 + √75 + √147
=> √12 = √2 × √2 × √3 = 2√3 -------- 1
=> √27 = √3 × √3 × √3 = 3√3 -------- 2
=> √108 = √6 × √6 ×√3 = 6√3 --------- 3
=> √75 = √5 × √5 × √3 = 5√3 --------- 4
=>√147 = √7 × √7 × √3 = 7√3 --------- 5
Adding 1 , 2 , 3 , 4 and 5 , we get
=> 2√3 + 3√3 + 6√3 + 5√3 + 7√3
{ Taking common √3 }
=> √3 ( 2 + 3 + 6 + 5 + 7 )
=> √3 ( 23 )
=> 23√3 ANS
__________________________________
#BE BRAINLY
Anonymous:
Well explained
Answered by
10
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