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If √x = 7.9, which point on the number line represents x?

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Answer and explanation

Correct answer: 62.41

Given √x = 7.9, squaring both sides gives x = (7.9)² = 62.41. Therefore, x is represented by the point 62.41 on the number line. The nearby option 61.41 is incorrect because it does not equal the square of 7.9. Exam tip: calculate a decimal square as 7.9 × 7.9 or as (7 + 0.9)².

Related tags

PolynomialsNumber LineSquare Root EquationsDecimal Squares

Frequently asked questions

What is the correct answer to this question?

62.41

Why is this the correct answer?

Given √x = 7.9, squaring both sides gives x = (7.9)² = 62.41. Therefore, x is represented by the point 62.41 on the number line. The nearby option 61.41 is incorrect because it does not equal the square of 7.9. Exam tip: calculate a decimal square as 7.9 × 7.9 or as (7 + 0.9)².

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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