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
Advertisements
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
Which of the following numbers are perfect squares?
625
Which of the following numbers are perfect square?
11
Using prime factorization method, find which of the following numbers are perfect square?
225
Using prime factorization method, find which of the following numbers are perfect square?
11025
Find the least number of three digits which is perfect square.
Show that the following number is not perfect square:
743522
A square number will not have odd number of zeros at the end
Which of the following is a square of an even number?
The square root of 24025 will have ______ digits.
Write the first five square numbers.
