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If \(\sqrt{x}=4.7\), which value does \(x\) represent on the number line?

Answer and explanation

Correct answer: 22.09

Given \(\sqrt{x}=4.7\), squaring both sides gives \(x=(4.7)^2=22.09\). Therefore, \(x\) represents 22.09 on the number line. The nearby option 21.09 is incorrect because \(4.7\times4.7=22.09\), not 21.09. Exam tip: when squaring a decimal, multiply it carefully and place the decimal point according to the total number of decimal places in the factors.

Related tags

PolynomialsReal NumbersNumber LineSquare RootDecimal CalculationRepresenting Real Numbers On The Number LineMathematicsClass 10 Mcq

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