State the tens digit of the square root of each of the following square numbers.
a) 5329
b) 729
c) 6724

Given:

Given numbers are:

a) 5329
b) 729
c) 6724

To do:

We have to state the tens digit of the square root of the given numbers.

Solution:

(a) $(70)^2=4900$ and $(80)^2=6400$

5329 lies between $(70)^2$ and $(80)^2$

Therefore, the tens digit square root of 5329 is 7.

(b) $(20)^2=400$ and $(30)^2=900$

729 lies between $(20)^2$ and $(30)^2$

Therefore, the tens digit square root of 729 is 2.

 (c) $(80)^2=6400$ and $(90)^2=8100$

6724 lies between $(80)^2$ and $(90)^2$

Therefore, the tens digit of the square root of 6724 is 8.

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Updated on: 10-Oct-2022

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