Advertisements
Advertisements
प्रश्न
Find the square root of the following number by the prime factorisation method.
9216
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
8100
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.
252
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
Find the square rootthe following by prime factorization.
11664
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
The area of a square field is 5184 cm2. A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
Find the square roots of 121 and 169 by the method of repeated subtraction.
1000 is a perfect square.
Using prime factorisation, find which of the following are perfect squares.
729
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
