Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions

Verify the property x × y = y × x of rational numbers by using

`x = (-3)/8` and `y = (-4)/9`

Name the property used in the following.

`-7/11 xx (-3)/5 = (-3)/5 xx (-7)/11`

The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are ______.

`root(3)(1000)` is equal to ______.

If m is the cube root of n, then n is ______.

The sum of first six odd natural numbers is ______.

The cube root of a number x is denoted by ______.

The cube root of 8000 is 200.

The sum of first n odd natural numbers is n².

If a² ends in 5, then a³ ends in 25.

If a² ends in 9, then a³ ends in 7.

Square root of a number x is denoted by `sqrt(x)`.

Cube roots of 8 are +2 and –2.

`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.

There is no cube root of a negative integer.

Express 81 as the sum of first nine consecutive odd numbers.

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Evaluate:

`root(3)(27) + root(3)(0.008) + root(3)(0.064)`

The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two squares.