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Squares and Square Roots

Short Answer Type

61.

Find the square root of 39204.

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62.
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Initial cost (value) of the scooter (P) = Rs 42000

                          Depreciation rate = 8% p.a.

                                Time = 1 year $rightwards double arrow$ n = 1

                        Using A = $space space straight P open square brackets 1 plus straight R over 100 close square brackets to the power of straight n$ , we have

                                A = Rs $42000 cross times open square brackets 1 minus 8 over 100 close square brackets to the power of 1$

                                   = Rs 42000 $cross times 92 over 100$

                                   = Rs 420 $cross times$ 92 = Rs 38640

Thus, the value of the scooter after 1 year will be Rs 38640.

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63.

Find the greatest 4-digit number which is a perfect square.

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64.

Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the perfect square.

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65.

Find the square root of:

(a) 17.64 (b) 12.25

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66.

Area of a square plot is 2304 m². Find the side of the square.

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67.

There are 2401 students in a school. P.T. teacher wants to stand them in such a manner that number of rows and columns are the same. Find the number of rows.

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