What is the position of √16 on the number line?
Answer and explanation
Correct answer: 4
The governing concept is the principal square root. The symbol √16 denotes the non-negative number whose square is 16. Since 4 × 4 = 16, we have √16 = 4, so its position on the number line is the point 4. Although both 4 and −4 have square 16, only the principal, non-negative square root is written as √16; −4 would be a solution of the equation x² = 16, not the value of √16. Option B is 8, whose square is 64, and option C is 16, whose square is 256. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The governing concept is the principal square root. The symbol √16 denotes the non-negative number whose square is 16. Since 4 × 4 = 16, we have √16 = 4, so its position on the number line is the point 4. Although both 4 and −4 have square 16, only the principal, non-negative square root is written as √16; −4 would be a solution of the equation x² = 16, not the value of √16. Option B is 8, whose square is 64, and option C is 16, whose square is 256. Hence option A is correct.
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.
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