Advertisements
Advertisements
प्रश्न
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Advertisements
उत्तर
The prime factorisation of 147:
147 = 3 x 7 x 7
Grouping the factors into pairs of equal factors, we get:
147 = 3 x (7 x 7)
The factor, 3 does not have a pair. Therefore, we must multiply 147 by 3 to make a perfect square. The new number is:
(3 x 3) x (7 x 7) = 441
Taking one factor from each pair on the LHS, the square root of the new number is 3 x 7, which is equal to 21.
APPEARS IN
संबंधित प्रश्न
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
71
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 product of two numbers is 1296. If one number is 16 times the other, find the numbers.
By splitting into prime factors, find the square root of 194481.
Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.
Find the square root by prime factorisation method
4761
_______ is added to 242 to get 252
Using prime factorisation, find which of the following are perfect squares.
841
