Question

What is the least number added to 1756 to get a perfect square?​

Answer 1

Answer:

(16)

(16)

16

Step-by-step explanation:

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Answer 2

Given:

1756 + x =  number giving perfect square

To Find:

x i.e the least number added to 1756 to get a perfect square

Solution:

To find x we must first find the perfect square number nearest to 1756.

Method 1-

Use trial and error method:

$40^{2} = 1600$

Hence the number to be squared is greater that 40.

$41^{2} = 1681\\42^{2} = 1764$

1764 is closest perfect square to 1756.

Find x by substracting 1756 from 1764:

1764-1756 = 8

Hence the least number added to 1756 to get a perfect square is 8.

Method 2-

Find the square root of 1756:

$\sqrt{1756} = 41.905$

Nearest whole number to 41.905 is 42

$42^{2} = 1764$

Find x by substracting 1756 from 1764:

1764-1756 = 8

Hence the least number added to 1756 to get a perfect square is 8.