Question

find the least number that must be added to 6412 so as to get a perfect square.​

Answer 1

Answer:

149

Step-by-step explanation:

Given number = 6412

Finding the nearest root is 80

80² = 6400 which is less than 6412

We take the next number 81² = 6561

Therefore, 6561 - 6412 = 149

Therefore, the required number = 149

6412 + 149 =6561 which is a perfect square

The perfect square is the number which is obtained on multiplying the same number two times.

Mark it as the brainliest answer

Answer 2

Step-by-step explanation:

SØLUŤĮØN

GIVEN

What must be added to 6412 so as to get a perfect square.

FIND

The least number.

SO,

Let us try to find its square root by long division method:

We get the remainder = 12.

This shows that,

$(80)^{2} < 6412$

Next perfect square number is

$(81)^{2} = 6561$

Therefore,

Required number

$= > (81)^{2} - 6412 = 6561 - 6412 = 149.$

HENCE,

The least number must be added to 6412 so as to make it a perfect square is 149.