Question

Find the square root of the following using division method . iv) 36360

Answer 1

190.684

Explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

, 1
`\dot{3}`
`\overline{63}`
`\overline{60}`

, 1 1

2, 9 2
`\overline{63}`

9 261

38, 0 2 60

0 0

.

380, 6 26000

, 6 22800

3806, 8 320000

, 8 304480

38068, 4 1552000

,4

Which gives 190.684

3 63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.