Single Choice

Express as a mixed surd: $$\sqrt [ 3 ]{ 256} $$

A$$16\sqrt [ 3 ]{ 4 } $$
B$$8\sqrt [ 3 ]{ 4 } $$
C$$4\sqrt [ 3 ]{ 4 } $$
Correct Answer
D$$2\sqrt [ 3 ]{ 4 } $$

Solution

If some part of the quantity under the radical sign is taken out of it, then it makes the mixed surd

$$\sqrt[3]{256}= \sqrt[3]{4^3\times 4}=\sqrt[3]{4^3}\times \sqrt[3]{4}= 4\sqrt[3]{4}$$

SIMILAR QUESTIONS

Exponents and Powers

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Exponents and Powers

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Exponents and Powers

Express as a pure surd: $$3\sqrt [ 4 ]{ 5 }$$

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Exponents and Powers

Express as a mixed surd: $$\sqrt{80}$$

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Express as a mixed surd: $$\sqrt [ 4 ]{ 1280 } $$

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Exponents and Powers

$$\sqrt{12\sqrt{5}+2\sqrt{55}}=$$...........

Exponents and Powers

If $$x=\sqrt [ 3 ]{ 9 } ,y=\sqrt [ 4 ]{ 11 } ,z=\sqrt [ 6 ]{ 17 } $$ then:

Exponents and Powers

Find the true statement for operations on surds

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