Evaluate √50625 and hence find the value of √5.0625 + √506.25.
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Answer:
24.75
Step-by-step explanation:
50625 = 3 x 3 x 3 x 3 x 5 x 5 x 5 x 5 =
=>√50625 = = 3²*5² = 15² = 225
therefore,
√5.0625 = = = 225/100 = 2.25 -------------(1)
√506.25 = = = 225/10 = 22.5 ------------------(2)
=> √5.0625 + √506.25 = 2.25 + 2.5 ( by (1) & )2) )
=> √5.0625 + √506.25 = 2.25 + 22.5 = 24.75
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