Advertisements
Advertisements
प्रश्न
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
Advertisements
उत्तर
12150 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5
Grouping 12150 into pairs of equal factors:
12150 = (3 x 3 x 3 x 3) x (5 x 5) x 2 x 3
Here, 2 and 3 do not occur in pairs. To be a perfect square, every prime factor has to be in pairs. Hence. the smallest number by which 12150 must be multiplied is 2 x 3, i.e. by 6.
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.
1008
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
Write true (T) or false (F) for the following statement.
The difference of two square numbers is a square number
Find the square rootthe following by prime factorization.
11664
Find the square roots of 121 and 169 by the method of repeated subtraction.
Write the prime factorization of the following number and hence find their square root.
9604
Is 90 a perfect square?
Find the square root by prime factorisation method
9025
A square board has an area of 144 square units. How long is each side of the board?
1000 is a perfect square.
