Advertisements
Advertisements
प्रश्न
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.
605
Advertisements
उत्तर
605 = 5 x 11 x 11
Grouping them into pairs of equal factors:
605 = 5 x (11 x 11)
The factor, 5 is not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 605 must be multiplied by 5 for it to be a perfect square.
The new number would be (5 x 5) x (11 x 11).
Furthermore, we have:
(5 x 5) x (11 x 11) = (5 x 11) x (5 x 11)
Hence, the number whose square is the new number is:
5 x 11 = 55
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?
16
Which of the following numbers are perfect squares?
36
Using prime factorization method, find which of the following numbers are perfect square?
3549
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.
8820
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.
3675
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.
3468
The following number is not perfect square. Give reason.
45743
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?
A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?
