21.16 - Find the square root of the given number by factorization.
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Answered by
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√ 21.16 is equal to 4.6 the decimal value cannot be solved with factorization method they can be solved by division method .
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Answered by
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Solution :
Resolving 2116 into product of prime,
we get
2 | 2116
_______
2 | 1058
_______
23 | 529
_______
*******23
Now ,
√21.16
= √ ( 2116/100 )
= √[ (2×2)(23×23)/(10×10)]
= ( 2 × 23 )/10
= 46/10
= 4.6
Therefore ,
√21.16 = 4.6
••••
Resolving 2116 into product of prime,
we get
2 | 2116
_______
2 | 1058
_______
23 | 529
_______
*******23
Now ,
√21.16
= √ ( 2116/100 )
= √[ (2×2)(23×23)/(10×10)]
= ( 2 × 23 )/10
= 46/10
= 4.6
Therefore ,
√21.16 = 4.6
••••
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