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Byju's Answer
Standard VIII
Mathematics
Perfect Squares
Is it possibl...
Question
Is it possible for a prime number to form a perfect square?
A
Yes
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B
No
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Solution
The correct option is
B
No
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Similar questions
Q.
Is it possible to find the square root of a non-perfect square integer using the prime factorization method?
Q.
Consider the steps to determine whether a number is a perfect square using prime factorization.
Step a
: Determine whether each prime factor of the number can be arranged in pair.
Step b
: If the prime factors can be arranged in pairs, the given number is a perfect square.
Step c
: Prime factorize the number.
Arrange the steps in the correct order.
Q.
Write (T) for true and (F) for false for each of the statements given below:
(i) The number of digits in a perfect square is even.
(ii) The square of a prime number is prime.
(iii) The sum of two perfect squares is a perfect square.
(iv) The difference of two perfect squares is a perfect square.
(v) The product of two perfect squares is a perfect square.
Q.
Find the smallest prime number multiplied to 72 to obtain a perfect square number.
Q.
Two fair dice, each with faces numbered
1
,
2
,
3
,
4
,
5
and
6
,
are rolled together and the sum of the numbers on the faces is observed. This process is repeated till the sum is either a prime number or a perfect square. Suppose the sum turns out to be a perfect square before it turns out to be a prime number. If
p
is the probability that this perfect square is an odd number, then the value of
14
p
is
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