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

Find the cube root of the following natural number 74088000 .

Find the cube root of the following natural number 157464 .

Find the cube root of the following natural number 1157625 .

Find the cube root of the following natural number 33698267 .

Factorize the following:
72x⁶y⁷ − 96x⁷y⁶

Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also, find the cube root of the quotient so obtained.

Factorize the following:
20x³ − 40x² + 80x

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Factorize the following:
2x³y² − 4x²y³ + 8xy⁴

Factorize the following:
10m³n² + 15m⁴n − 20m²n³

Factorize the following:
2a⁴b⁴ − 3a³b⁵ + 4a²b⁵

Factorize the following:
28a² + 14a²b² − 21a⁴

Factorize the following:
a⁴b − 3a²b² − 6ab³

Factorize the following:
2l²mn - 3lm²n + 4lmn²

Factorize the following:
x⁴y² − x²y⁴ − x⁴y⁴

Factorize the following:
9x²y + 3axy

Factorize the following:
16m − 4m²