Advertisements
Advertisements
प्रश्न
By what numbers should each of the following be divided to get a perfect square ? Also, find the number whose square is the new number.
1575
Advertisements
उत्तर
1575 = 3 x 3 x 5 x 5 x 7
Grouping them into pairs of equal factors:
1575 = (3 x 3) x (5 x 5) x 7
The factor, 7 is not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 1575 must be divided by 7 for it to be a perfect square.
The new number would be (3 x 3) x (5 x 5).
Furthermore, we have:
(3 x 3) x (5 x 5) = (3 x 5) x (3 x 5)
Hence, the number whose square is the new number is:
3 x 5 = 15
APPEARS IN
संबंधित प्रश्न
Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case:
14641
Which of the following numbers are perfect square?
12
Which of the following numbers are perfect square?
121
Using prime factorization method, find which of the following numbers are perfect square?
225
By what numbers should each of the following be divided to get a perfect square? Also, find the number whose square is the new number.
3698
Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.
Show that the following number is not perfect square:
4058
There is a large square portrait of a leader that covers an area of 4489 cm2. If each side has a 2 cm liner, what would be its area?
Which of the following is a square of an even number?
The square root of 24025 will have ______ digits.
