Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
4096
Advertisements
Solution
4096 can be factorised as follows:
| 2 | 4096 |
| 2 | 2048 |
| 2 | 1024 |
| 2 | 512 |
| 2 | 256 |
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 |
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
∴ `sqrt(4096)` = 2 × 2 × 2 × 2 × 2 × 2 = 64
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
729
Find the square root of the following number by the prime factorisation method.
400
Find the square root of the following number by the prime factorisation method.
529
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the square root the following by prime factorization.
8281
Find the square root the following by prime factorization.
24336
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
By splitting into prime factors, find the square root of 396900.
Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.
Examine if the following is a perfect square
190
