Advertisements
Advertisements
प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
180
Advertisements
उत्तर
180 can be factorised as follows:
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
180 = 2 × 2 × 3 × 3 × 5
Here, prime factor 5 does not have its pair. If 5 gets a pair, then the number will become a perfect square. Therefore, 180 has to be multiplied with 5 to obtain a perfect square.
180 × 5 = 900 = 2 × 2 × 3 × 3 × 5 × 5
Therefore, 180 × 5 = 900 is a perfect square.
∴ `sqrt(900)` = 2 × 3 × 5 = 30.
APPEARS IN
संबंधित प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
2028
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
Find the square root the following by prime factorization.
1764
A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
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
Find the square root by prime factorisation method
144
A square board has an area of 144 square units. How long is each side of the board?
Using prime factorisation, find which of the following are perfect squares.
841
Using prime factorisation, find which of the following are perfect squares.
729
