On the number line, √16/2 is equal to which point?
Answer and explanation
Correct answer: 2
The governing concept is simplification of a square root before performing division. Because 16 is a perfect square, its principal square root is √16 = 4, not ±4 in this context. Hence √16/2 = 4/2 = 2. The corresponding point on the number line is therefore 2, so option A is correct. Option B results from stopping after evaluating the square root and forgetting the division by 2. Option C incorrectly multiplies 4 by 2, while option D reverses the division and treats the expression as 2/4. The expression is positive, so no negative interpretation is involved.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The governing concept is simplification of a square root before performing division. Because 16 is a perfect square, its principal square root is √16 = 4, not ±4 in this context. Hence √16/2 = 4/2 = 2. The corresponding point on the number line is therefore 2, so option A is correct. Option B results from stopping after evaluating the square root and forgetting the division by 2. Option C incorrectly multiplies 4 by 2, while option D reverses the division and treats the expression as 2/4. The expression is positive, so no negative interpretation is involved.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
