Question

What is the least number that should be subtracted from 1385 to get a perfect square? Also find the square root of the perfect square.

Answer 1

Answer:

The least number that should be subtracted from 1385 is 16 and Square root of perfect square is 37

Step-by-step explanation:

Given : 1385

To Find : What is the least number that should be subtracted from 1385 to get a perfect square? Also find the square root of the perfect square.

Solution:

Number = 1385

$\sqrt{1385}=37.21$

So, the nearest smallest perfect square root is 37

So, $37^2 =1369$

So, the least number that should be subtracted from 1385 = 1385-1369

                                                                                                 =16

Square root of perfect square = $\sqrt{1369}=37$

Hence The least number that should be subtracted from 1385 is 16 and Square root of perfect square is 37

Answer 2

Answer:

16 should be subtracted from 1385 to get a perfect square.

1369 = 37²

Step-by-step explanation:

Given number 1385.

Find the square root of 1385, we get

3| 13 85| 37

** 09

_________

67| 4 85

×7| 4 69

_________

*** 016

Therefore,

The least number 16 should be subtracted from 1385 to get a perfect square.

Perfect square = 1385 - 16

= 1369 = 37²

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