find the square root of the following number 5.0625
Answers
Answer:
Given : 5.0625
To Find : square root of 5.0625
Solution:
Long division method
2.25
5.0625
2 4
_______
106
42 84
_______
2225
445 2225
_______
0
√5.0625 = 2.25
Factorization method :
5.0625 = 50625 / 10000
50625 = 3 x 3 x 3 x 3 x 5 x 5 x 5 x 5 = 3² x 3² x 5² x 5² = ( 3 x3 x 5 x 5)²
= ( 225)²
=> √50625 = 225
10000 = 100 x 100 = 100²
√10000 = 100
√ 5.0625 = √50625 / √10000 = 225 / 100 = 2.25
√5.0625 = 2.25
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Step-by-step explanation: