Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
8100
Advertisements
Solution
8100 can be factorised as follows:
| 2 | 8100 |
| 2 | 4050 |
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5
∴ `sqrt(8100) = 2 xx 3 xx 3 xx 5 = 90`
RELATED QUESTIONS
Find the smallest square number that is divisible by each of the numbers 4, 9, and 10.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
Find the square root the following by prime factorization.
196
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
47089
The product of two numbers is 1296. If one number is 16 times the other, find the numbers.
Find the square roots of 121 and 169 by the method of repeated subtraction.
By splitting into prime factors, find the square root of 11025.
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
Examine if the following is a perfect square
1089
