Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
400
Advertisements
Solution
400 can be factorised as follows:
| 2 | 400 |
| 2 | 200 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
400 = 2 × 2 × 2 × 2 × 5 × 5
So, `sqrt400 = 2 xx 2 xx 5 = 20`
APPEARS IN
RELATED QUESTIONS
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
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.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the square root the following by prime factorization.
190969
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
By splitting into prime factors, find the square root of 194481.
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
