Advertisements
Advertisements
Question
Using prime factorisation, find the square roots of 11025
Advertisements
Solution
We have, 11025
| 3 | 11025 |
| 3 | 3675 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Now, 11025 = 3 × 3 × 5 × 5 × 7 × 7
∴ Square root of 11025
= `sqrt(11025)`
= 3 × 5 × 7
= 105
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
1764
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.
2925
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.
1620
Write five numbers for which you cannot decide whether they are squares.
Find the square root the following by prime factorization.
1156
Write the prime factorization of the following number and hence find their square root.
9604
Is 90 a perfect square?
Examine if the following is a perfect square
190
Find the cube root of 729 and 6859 prime factorisation
A square board has an area of 144 square units. How long is each side of the board?
