Advertisements
Advertisements
प्रश्न
Find the square root of: 27.3529
Advertisements
उत्तर
27.3529
| 5.23 | |
| 5 | 27.3529 25 |
| 102 | 2.35 2.04 |
| 1043 | 3129 3129 |
| x |
Required square root = 5.23
Notes
Step-by-step Breakdown
1. Find the square root of 27 (first pair)
-
Closest square less than 27: 52=255^2 = 2552=25
-
So, write 5 as the first digit of the square root.
-
Subtract: 27−25=227 - 25 = 227−25=2
Now bring down next pair → 35
Now we have: 235235235
2. Double the current quotient (5) → 10
-
Write 102 | 2.35 (that "102" comes from 10 + _; we are finding that _ digit)
-
Try: 102 × 2 = 204
-
Subtract: 235−204=31235 - 204 = 31235−204=31
Bring down next pair: 29
Now we have: 3129
3. Current root is 5.2, double it: 10.4
-
Use it to find the next digit:
-
Try: 1043 × 3 = 3129
-
Perfect match!
-
-
Subtract: 3129−3129=03129 - 3129 = 03129−3129=0
Now there’s nothing left — remainder is 0.
APPEARS IN
संबंधित प्रश्न
What could be the possible ‘one’s’ digit of the square root of the given number?
998001
The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.
Find the value of:
\[\sqrt{45} \times \sqrt{20}\]
Find the square root of `96 1/25`.
Evaluate `sqrt((14.4)/(22.5)`
If `sqrt784` = 28, find the value of:
`sqrt(0.0784) + sqrt(0.000784)`
Find the square root of: 0.602 correct to two places of decimal
The value of `sqrt(248 + sqrt(52 + sqrt(144)` is ______.
What will be the number of unit squares on each side of a square graph paper if the total number of unit squares is 256?
Find three numbers in the ratio 2 : 3 : 5, the sum of whose squares is 608.
