(B) The $n$-th root of $1$ is defined as the number $x$ such that $x^n = 1$.For any positive integer $n$,$1^n = 1 \times 1 \times \dots \times 1 = 1$.

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(B) The $n$-th root of $1$ is defined as the number $x$ such that $x^n = 1$.For any positive integer $n$,$1^n = 1 \times 1 \times \dots \times 1 = 1$.Therefore,$\sqrt[11]{1} = 1$.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

Fill in the blank to make the following statement true:
$\sqrt[11]{1} = \ldots$

A
$9$
B
$1$
C
$0$
D
$4$

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Class 9

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Number Systems

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Mix Examples - Number Systems

Rationalise the denominator in each of the following:
$\frac{18}{3 \sqrt{2}-2 \sqrt{3}}$

Easy

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Represent $\sqrt{10}$ on the number line.

Medium

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Simplify the following:
$\frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9}$

Medium

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Between two rational numbers,

Easy

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Find the value of $\frac{8^{1/3} \times 16^{1/3}}{32^{-1/3}}$.

Medium

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Fill in the blank to make the following statement true:$\sqrt[11]{1} = \ldots$

Similar Questions

Rationalise the denominator in each of the following:$\frac{18}{3 \sqrt{2}-2 \sqrt{3}}$

Represent $\sqrt{10}$ on the number line.

Simplify the following:$\frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9}$

Between two rational numbers,

Find the value of $\frac{8^{1/3} \times 16^{1/3}}{32^{-1/3}}$.

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Fill in the blank to make the following statement true:
$\sqrt[11]{1} = \ldots$

Rationalise the denominator in each of the following:
$\frac{18}{3 \sqrt{2}-2 \sqrt{3}}$

Simplify the following:
$\frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9}$