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Without a calculator, between which two one-decimal values does $55$ lie?
Use $7. 4^{2} = 54.76$ and $7. 5^{2} = 56.25$ .

Class 8Estimating Square RootsSquares and Roots

A7.3 and 7.4
B7.4 and 7.5
C7.5 and 7.6
D7.2 and 7.3

Step-by-Step Solution

7. 4^{2} = 54.76

and

7. 5^{2} = 56.25

. Since 54.76 < 55 < 56.25,

55

lies between 7.4 and 7.5.

Answer: B) 7.4 and 7.5

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