Which of the following is not a surd?

\sqrt{45}

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\sqrt{20} \times \sqrt{45}

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\sqrt[3]{4} \div \sqrt{3}

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\sqrt[3]{12} + 7

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Solution

The correct option is A $\sqrt{20} \times \sqrt{45}$
A. $\sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5}$
B. $\sqrt{20} \times \sqrt{45} = \sqrt{5 \times 4} \times \sqrt{9 \times 5} = 2 \sqrt{5} \times 3 \sqrt{5} = 6 \times 5 = 30$

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Similar questions

(\sqrt{12} + \sqrt{20}), (3 \sqrt{3} + 2 \sqrt{5}), (\sqrt{45} - \sqrt{90})

\sqrt{45} - 3 \sqrt{20} + 3 \sqrt{5}

(i) \sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} (i i) \frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9} (i i i) 4 \sqrt{12} \times 7 \sqrt{6}

Simplify the following surds

(1)

(2)

(3)

(4)

(i) \sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} (i i) \frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9} (i i i) 4 \sqrt{12} \times 7 \sqrt{6} (i v) 4 \sqrt{28} + 3 \sqrt{7} + \sqrt[3]{7} (v) 3 \sqrt{3} + 2 \sqrt{27} + \frac{7}{\sqrt{3}} (v i) (\sqrt{3} - \sqrt{2})^{2} (v i i) \sqrt[4]{81} - 8 \sqrt[3]{216} + 15 \sqrt[5]{32} + \sqrt{225} (v i i i) \frac{3}{\sqrt{8}} + \frac{1}{\sqrt{2}} (i x) \frac{2 \sqrt{3}}{3} - \frac{\sqrt{3}}{6}

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