Answer:
√53 lies between 7.2 and 7.3
Step-by-step explanation:
To estimate the √53 between two numbers to the tenths place, the steps include
1.) Identify perfect squares that bound the number 53: 7² = 49 and 8² = 64
2.) Estimate between two whole numbers: between 7 and 8
3.) Determine the closer whole number: the root is closer to 7 because 53 is closer to 49 than to 64.
4.) Find the squares of tenths:
7.1²= 50.41
7.2²= 51.84
7.3²= 53.29
7.4²= 54.76
Hence, it is evident that √53 lies between 7.2 and 7.3
It is also clear that the required square root is closer to 7.3 than 7.2 though.
Hope this Helps!!!
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