Advertisements
Advertisements
Question
A decimal number is multiplied by itself. If the product is 51.84, find the number.
Advertisements
Solution
Let the number be x.
Then, product = x × x = x2
But product = 51.84 ...[Given]
∴ x2 = 51.84
⇒ x = `sqrt(51.84)`
Now, place the bar over the numbers, then square root is given below.
∴ x = `sqrt(51.84)` = 7.2
| 7.2 | |
| 7 | `bar51. bar84` |
| 49 | |
| 142 | 284 |
| 284 | |
| 0 |
Hence, the required number is 7.2
APPEARS IN
RELATED QUESTIONS
Find the square root of the following decimal number.
2.56
Find the square root in decimal form:
84.8241
Find the square root in decimal form:
0.00038809
Find the square root the following correct to three places of decimal.
5
Find the square root the following correct to three places of decimal.
0.016
Find the square root the following correct to three places of decimal.
`5/12`
Given that: \[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text{ and } \sqrt{7} = 2 . 646,\] find the square roots of the following:
\[\frac{150}{7}\]
Using square root table, find the square root
1312
Find the square root of the following decimal numbers and fractions
2.89
Find the square root of the following decimal numbers and fractions
`144/225`
