(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

Simplify the following:
$4 \sqrt{12} \times 7 \sqrt{6}$

Medium

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

Easy

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State whether the following statement is true or false:
$\sqrt{3} \times \sqrt{5} = \sqrt{8}$

Easy

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Find the value of $a$ :
$\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3}$

Difficult

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Simplify the following expression: $(3+\sqrt{5})(4-\sqrt{11})$

Easy

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

Similar Questions

Simplify the following:$4 \sqrt{12} \times 7 \sqrt{6}$

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

State whether the following statement is true or false:$\sqrt{3} \times \sqrt{5} = \sqrt{8}$

Find the value of $a$ :$\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3}$

Simplify the following expression: $(3+\sqrt{5})(4-\sqrt{11})$

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

Simplify the following:
$4 \sqrt{12} \times 7 \sqrt{6}$

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

State whether the following statement is true or false:
$\sqrt{3} \times \sqrt{5} = \sqrt{8}$

Find the value of $a$ :
$\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3}$