On the number line, sqrt(9) is the same as which point?
Answer and explanation
Correct answer: 3
The principal square root of a number is the non-negative number that gives the number when multiplied by itself. Therefore, \(\sqrt{9}\) means the non-negative number whose square is 9. On a number line, this value is located three units to the right of zero, so it corresponds to point 3. The correct choice is B.
To verify the result, calculate the squares of the relevant choices: \(2^2=4\), \(3^2=9\), \(4^2=16\), and \(9^2=81\). Only 3 has square 9. Although \(-3\) also satisfies \((-3)^2=9\), the symbol \(\sqrt{9}\) refers specifically to the principal, non-negative root, not both solutions. Thus the answer is 3.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The principal square root of a number is the non-negative number that gives the number when multiplied by itself. Therefore, \(\sqrt{9}\) means the non-negative number whose square is 9. On a number line, this value is located three units to the right of zero, so it corresponds to point 3. The correct choice is B.
To verify the result, calculate the squares of the relevant choices: \(2^2=4\), \(3^2=9\), \(4^2=16\), and \(9^2=81\). Only 3 has square 9. Although \(-3\) also satisfies \((-3)^2=9\), the symbol \(\sqrt{9}\) refers specifically to the principal, non-negative root, not both solutions. Thus the answer is 3.
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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