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.
3698
Advertisements
उत्तर
3698 = 2 x 43 x 43
Grouping them into pairs of equal factors:
3698 = 2 x (43 x 43)
The factor, 2 is not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 3698 must be divided by 2 for it to be a perfect square.
The new number would be (43 x 43).
Hence, the number whose square is the new number is 43.
APPEARS IN
संबंधित प्रश्न
Which of the following numbers are perfect squares?
2500
Show that each of the following numbers is a perfect square. Also, find the numer whose square is the given number in each case:
2025
Which of the following numbers are perfect square?
111
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
Find the greatest number of two digits which is a perfect square.
Find the smallest number by which 4851 must be multiplied so that the product becomes a perfect suqare.
Show that the following number is not perfect square:
743522
A square number will not have odd number of zeros at the end
The square root of 24025 will have ______ digits.
A farmer wants to plough his square field of side 150 m. How much area will he have to plough?
