question no. 1
please tell!
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Answer is in the above.
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• Firstly, finding the square root of 15625 by prime factorization method -
5 | 15625
________
5 | 3125
________
5 | 625
________
5 | 125
________
5 | 25
________
5 | 25
________
5 | 5
________
| 1
• So, √15625 = √(5 × 5 × 5 × 5 × 5 × 5)
=> √15625 = (5 × 5 × 5)
=> √15625 = 125
• Now, √ 15625 = 125
• So, √156.25
= √15625/100
= √(125 × 125)/(10 × 10)
= 125/10
= 12.5
• And, √1.5625
= √15625/10000
= √(125 × 125)/(100 × 100)
= 125/100
= 1.25
• Now,
√156.25 + √1.5625
= 12.5 + 1.25
= 13.75
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Thank you.. ;-)
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