Advertisements
Advertisements
Question
By splitting into prime factors, find the square root of 194481.
Advertisements
Solution
`sqrt(194481)`
= `sqrt(bar(3xx3) xx bar(3xx3) xx bar(7xx7) xx bar(7xx7)`
= 3 x 3 x 7 x 7 = 441
| 3 | 194481 |
| 3 | 64827 |
| 3 | 21609 |
| 3 | 7203 |
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 |
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
7744
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.
1008
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
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
7688
By just examining the unit digis, can you tell which of the following cannot be whole squares?
1028
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Write true (T) or false (F) for the following statement .
There is no square number between 50 and 60.
Find the square root of each of the following by prime factorization.
441
Find the square root the following by prime factorization.
196
