Find the value of √60025 and hence find the value of √600.25 + √6.0025
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Given : √60025
√600.25 + √6.0025
To Find : value of √60025
and value of √600.25 + √6.0025
Solution:
245
60025
2 4
_____
200
44 176
_____
2425
485 2425
_______
0
√60025 = 245
or
60025 = 5 * 5 * 7 * 7 * 7 * 7
=> 60025 = 5² * 7² * 7²
=> 60025 = (5 * 7 * 7 )²
=> 60025 = (245)²
=> √60025 = 245
√600.25 + √6.0025
= √60025/100 + √60025/10000
= √60025/ √100 + √60025/ √10000
= 245/10 + 245/100
= 24.5 + 2.45
= 26.95
√600.25 + √6.0025 = 26.95
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