Advertisements
Advertisements
Question
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
396
Advertisements
Solution
396 can be factorised as follows:
| 2 | 396 |
| 2 | 198 |
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
396 = 2 × 2 × 3 × 3 × 11
Here, prime factor 11 does not have its pair.
If we divide this number by 11, then the number will become a perfect square. Therefore, 396 has to be divided by 11 to obtain a perfect square.
396 ÷ 11 = 36 is a perfect square.
36 = 2 × 2 × 3 × 3
∴ `sqrt(36)` = 2 × 3 = 6
APPEARS IN
RELATED QUESTIONS
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
180
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2800
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.
Find the square root the following by prime factorization.
7056
Find the square root the following by prime factorization.
8281
Find the square root the following by prime factorization.
190969
Find the smallest number by which 2592 be multiplied so that the product is a perfect square.
Using prime factorisation, find the square roots of 11025
