Question

How to take square root of 2466 by long division method?

Answer 1

this is your answer with 49.45 as answer

Answer 2

Answer:

square root of 2466 is 49.65

Step-by-step explanation:

We have to find the square root of 2466 by long division method

Consider the given number  2466

Make a pair of two terms from starting from the unit’s digits.

thus, 24 and 66 are two pairs.

then,

Find the nearest perfect square for the first two term.

The nearest perfect square of 24 is 16 which is square of 4.

Now subtract we obtain 8

write down  866 together.

double the value of the quotient  by adding 4 to quotient

so adding 4  it becomes 8

Now, find  the largest digit for the unit place such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than 866.

when we take 9 at unit place we get  89 × 9 = 801

Subtract we get 65

applying decimal we get  a pair of zero as we do in division

we get 6500

Now adding 9 to 89 we get 98 and find a unit digit to 98_ such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than 6500.

when we take 6 at unit place we get  986 × 6 = 5916

Subtract we get 584

and so on we can do so obtained  square root of 2466 is 49.65