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Which point on the number line represents \(-\sqrt{2.56}\)?

Answer and explanation

Correct answer: \(-1.6\)

Since \(2.56=(1.6)^2\), we have \(\sqrt{2.56}=1.6\). The negative sign outside the radical changes the entire value to negative, so \(-\sqrt{2.56}=-1.6\). Option B omits the negative sign, while C and D result from misreading the decimal or the radicand as the square root. Exam tip: find the principal square root first, then apply any sign outside the radical.

Related tags

Number LineNegative Square RootDecimal Square RootRepresenting Real Numbers On The Number LinePolynomialsMathematicsClass 10 Mcq

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