484/625 - Find the square root of it.
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Solution :
Resolving given Numbers into
product of prime ,
i )
2 | 484
______
2 | 242
______
11 | 121
______
*****11
484 = 2 × 2 × 11 × 11
ii )
5 | 625
______
5 | 125
______
5 | 25
______
******5
625 = 5 × 5 × 5 × 5
Therefore ,
√( 484/625 )
= √[(2×2)×(11×11)/(5×5)((5×5)]
= ( 2 × 11 )/( 5 × 5 )
= 22/25
√( 484 /625 ) = 22/25
••••
Resolving given Numbers into
product of prime ,
i )
2 | 484
______
2 | 242
______
11 | 121
______
*****11
484 = 2 × 2 × 11 × 11
ii )
5 | 625
______
5 | 125
______
5 | 25
______
******5
625 = 5 × 5 × 5 × 5
Therefore ,
√( 484/625 )
= √[(2×2)×(11×11)/(5×5)((5×5)]
= ( 2 × 11 )/( 5 × 5 )
= 22/25
√( 484 /625 ) = 22/25
••••
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