Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
9216
Advertisements
Solution
9216 can be factorised as follows:
| 2 | 9216 |
| 2 | 4608 |
| 2 | 2304 |
| 2 | 1152 |
| 2 | 576 |
| 2 | 288 |
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3× 3
∴ `sqrt(9216) = 2 xx 2 xx 2 xx 2 xx 2 xx 3 = 96`
APPEARS IN
RELATED QUESTIONS
By just examining the unit digit, can you tell which of the following cannot be whole square?
1024
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Write true (T) or false (F) for the following statement.
The number of digits in a square number is even.
Find the square root the following by prime factorization.
1764
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
Write the prime factorization of the following number and hence find their square root.
9604
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
The least number by which 125 be multiplied to make it a perfect square is ______.
Using prime factorisation, find which of the following are perfect squares.
841
