Question

21.16 - Find the square root of the given number by factorization.

Answer 1

√ 21.16 is equal to 4.6 the decimal value cannot be solved with factorization method they can be solved by division method .

Answer 2

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

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