Advertisements
Advertisements
Question
Show that 500 is not a perfect square.
Solution
Factors of 500 are 2 × 2 × 5 × 5 × 5
Now, group the factors into pairs, we get
500 = (2 × 2) × (5 × 5 × 5)
= 22 × 53
So, the prime factors 2 and 5 do not occur in pairs.
Hence, 500 is not a perfect square.
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
By just examining the unit digis, can you tell which of the following cannot be whole squares?
1028
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Find the square root the following by prime factorization.
196
Find the square root the following by prime factorization.
529
Find the smallest number by which 147 must be multiplied so that it becomes a perfect square. Also, find the square root of the number so obtained.
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
Examine if the following is a perfect square
841
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
