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What is the value of (\frac{\sqrt{32}}{\sqrt{2}})?

Answer and explanation

Correct answer: 4

Using the quotient rule for square roots, \(\frac{\sqrt{32}}{\sqrt{2}}=\sqrt{\frac{32}{2}}=\sqrt{16}=4\). Therefore, 4 is correct. The number 16 is only the value inside the square root; its square root must still be evaluated. Exam tip: use \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\) when \(b>0\).

Related tags

Real NumbersSurdsSquare RootsQuotient RuleNumber SystemsMathematicsClass 9 Mcq

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