There are five perfect cubes between $1$ and $100$.

Important Questions on Square-Square Root and Cube-Cube Root

EASY

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 61

There are$200$ natural numbers between ${100}^2$ and ${101}^2$.

MEDIUM

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 62

The sum of first $n$ odd natural numbers is ${\mathrm{n}}^2$.

MEDIUM

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 63

$1000$ is a perfect square.

MEDIUM

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 64

A perfect square can have $8$ as its unit's digit.

MEDIUM

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 65

For every natural number $\mathrm{m}, \left(2\mathrm{m}-1, 2{\mathrm{m}}^2-2\mathrm{m}, 2{\mathrm{m}}^2-2 \mathrm{m}+1)\right.$is a Pythagorean triplet.

EASY

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 66

All numbers of a Pythagorean triplet are odd.

EASY

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 67

For an integer $a, a^3$ is always greater than $a^2$.

EASY

8th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 8>Chapter 3 - Square-Square Root and Cube-Cube Root>Exercise>Q 68

If $x$ and $y$ are integers such that $x^2>y^2$, then $x^3>y^3$.