Represent sixth root of 8 in decimal form. [4 MARKS]

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Solution

Concept : 2 Marks
Calculation : 2 Marks

Sixth root of 8 means, $8^{\frac{1}{6}}$ , which is equal to $(2^{3})^{\frac{1}{6}}$ , which is $2^{\frac{1}{2}}$
Hence, Sixth root of 8 is $2^{\frac{1}{2}}$ , i.e. 1.4142.... (non-terminating and non-recurring)

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Represent sixth root of 8 in decimal form. [4 MARKS]

Concept : 2 Marks Calculation : 2 Marks Sixth root of 8 means, 816, which is equal to (23)16, which is 212 Hence, Sixth root of 8 is 212 , i.e. 1.4142.... (non-terminating and non-recurring)

Concept : 2 Marks
Calculation : 2 Marks

Sixth root of 8 means, $8^{\frac{1}{6}}$ , which is equal to $(2^{3})^{\frac{1}{6}}$ , which is $2^{\frac{1}{2}}$
Hence, Sixth root of 8 is $2^{\frac{1}{2}}$ , i.e. 1.4142.... (non-terminating and non-recurring)