Advertisements
Advertisements
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
उत्तर
In problem, factorise the number into its prime factor.
14641 = 11 x 11 x 11 x 11
Grouping the factors into pairs of equal factors, we obtain:
14641 = (11 x 11) x (11 x 11)
No factors are left over. Hence, 14641 is a perfect square. The above expression is already grouped into equal factors:
14641 = (11 x 11) x (11 x 11)
= (11 x 11)2
Hence, 14641 is the square of 121, which is equal to 11 x 11.
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:
4761
Which of the following numbers are perfect square?
79
Using prime factorization method, find which of the following numbers are perfect square?
2048
By what number should each of the following numbers be multiplied to get a perfect square? Also, find the number whose square is the new number.
2880
By what number should each of the following numbers be multiplied to get a perfect square ? Also, find the number whose square is the new number.
7776
Find the greatest number of two digits which is a perfect square.
The following number is not perfect square. Give reason.
45743
The product of two perfect squares is a perfect square.
The square of every natural number is always greater than the number itself.
Find the side of a square whose area is equal to the area of a rectangle with sides 6.4 m and 2.5 m.
