Let P = {x : x ∈ N and x is a square root of 16}, where N = {1, 2, 3, ...}. What is P?
Answer and explanation
Correct answer: P = {4}
A number x is a square root of 16 when x² = 16. Over the integers, both −4 and 4 satisfy this equation because (−4)² = 16 and 4² = 16. However, the set specifically requires x ∈ N, and the given natural numbers are positive, so −4 is excluded. Therefore P = {4}. Option C confuses the square with its root, while 2 does not satisfy x² = 16.
Frequently asked questions
What is the correct answer to this question?
P = {4}
Why is this the correct answer?
A number x is a square root of 16 when x² = 16. Over the integers, both −4 and 4 satisfy this equation because (−4)² = 16 and 4² = 16. However, the set specifically requires x ∈ N, and the given natural numbers are positive, so −4 is excluded. Therefore P = {4}. Option C confuses the square with its root, while 2 does not satisfy x² = 16.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
