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.
2800
Advertisements
Solution
2800 can be factorised as follows.
| 2 | 2800 |
| 2 | 1400 |
| 2 | 700 |
| 2 | 350 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7
Here, prime factor 7 does not have its pair.
If we divide this number by 7, the number will become a perfect square.
Therefore, 2800 has to be divided by 7 to obtain a perfect square.
2800 ÷ 7 = 400 is a perfect square.
400 = 2 × 2 × 2 × 2 × 5 × 5
∴ `sqrt400` = 2 × 2 × 5 = 20
APPEARS IN
RELATED QUESTIONS
By just examining the unit digit, can you tell which of the following cannot be whole square?
1024
Write true (T) or false (F) for the following statement.
The sum of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the square root the following by prime factorization.
1156
Write the prime factorization of the following number and hence find their square root.
9604
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
By splitting into prime factors, find the square root of 194481.
Examine if the following is a perfect square
190
Find the square root by prime factorisation method
1156
