Question

The smallest value of m for which 4931+m is a perfect square is:

71
82
41
110​

Answer 1

*Question:—

The smallest value of m for which 4931+m is a perfect square is:—

• → 71
• → 82
• → 41
• → 110

*Answer:—

• 110 ✓

Step by Step explanation:—

→ 4,931 can be expressed as follows:

→ 4,900 + 31

→ The square root of 4,900 is 70.

→ The next perfect square will be based on 71.

→ The square of 71 is 5,041.

The difference between 5,041 and 4,931 is 110.

Thus,

The smallest number that must be added to 4,931 in order to obtain a perfect square is 110.

$@vikramjeeth$

Answer 2

Step-by-step explanation:

*Question:—

The smallest value of m for which 4931+m is a perfect square is:—

→ 71

→ 82

→ 41

→ 110

*Answer:—

110 ✓

Step by Step explanation:—

→ 4,931 can be expressed as follows:

→ 4,900 + 31

→ The square root of 4,900 is 70.

→ The next perfect square will be based on 71.

→ The square of 71 is 5,041.

The difference between 5,041 and 4,931 is 110.

Thus,

The smallest number that must be added to 4,931 in order to obtain a perfect square is 110.