the perfect square number out of 12,13,14and 16 is
Answers
Answer:
The only number 16 among the given numbers is a perfect square.
Step-by-step explanation:
Perfect Square:
- A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself.
- For instance, the number 25 is a perfect square since it is the product of the integer 5 multiplied by itself, 5×5 = 25.
- 21 cannot be stated as the product of two identical integers, hence it is not a perfect square number.
The given numbers are 12, 12, 14 and 16.
The number which have perfect square among the given numbers is 16.
Since, 16 = 4²
√16 = 4
The square root of remaining values doesn't give an integer.
The square root of 12, 13 and 14 are given below
√12 = 3.4641
√13 = 3.6055
√14 = 3.7416
So, the only number 16 among the given numbers is a perfect square.
Know more about Perfect square:
https://brainly.in/question/43418979?referrer=searchResults
brainly.in/question/21523537?referrer=searchResults
Answer:
16 is the perfect square out of the given set of numbers.
Step-by-step explanation:
Given,
The set of numbers 12, 13, 14, 16
To find,
The perfect square out of the given set of numbers 12, 13, 14, 16.
Calculation,
We try to write the prime factors of the given numbers:
12 = 2 × 2 × 3
13 = 13 × 1
14 = 2 × 7
16 = 2 × 2 × 2 × 2
Now out of all the numbers, 16 is having even number of the same numbers so this can be visualized as a perfect square.
16 = (2 × 2) × (2 × 2) = 4 × 4 = 4²
⇒ 16 = 4²
Therefore, 16 is the perfect square out of the given set of numbers.
#SPJ3