Home
Class 8
MATHS
Find the value of sqrt(1^(3)+2^(3)+3^(3)...

Find the value of `sqrt(1^(3)+2^(3)+3^(3)+…10^(3))`

Text Solution

AI Generated Solution

To find the value of \( \sqrt{1^3 + 2^3 + 3^3 + \ldots + 10^3} \), we can follow these steps: ### Step 1: Identify the formula for the sum of cubes The formula for the sum of the cubes of the first \( n \) natural numbers is given by: \[ \left( \frac{n(n + 1)}{2} \right)^2 \] This means that the sum of the cubes from \( 1^3 \) to \( n^3 \) can be calculated using this formula. ...
Promotional Banner

Topper's Solved these Questions

  • SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS

    PEARSON IIT JEE FOUNDATION|Exercise Very short Answer Type Question|30 Videos
  • SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS

    PEARSON IIT JEE FOUNDATION|Exercise short Answer Type Question|15 Videos
  • SIMPLE INTEREST AND COMPOUND INTEREST

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION Level 3|9 Videos
  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL II) |29 Videos

Similar Questions

Explore conceptually related problems

find the value of (1+iota*sqrt(3))^(3)

Find the value of (2 - sqrt3)/(2 + sqrt3)

Find the value of : sin^(-1) (sqrt(3)/2)

Find the value of (2 + sqrt(3))/(2 - sqrt(3)) .

If [3(3sqrt(x)-(1)/(3sqrt(x)))]^((1)/(3))=2 then find the value of 3sqrt(x)+(1)/(3sqrt(x))

Find the value of (-1+sqrt(-3))^(2)+(-1-sqrt(-3))^(2)

Find the value of (1)/(2+sqrt(3))+(1)/(2-sqrt(3))

If sqrt(2)=1.414 and sqrt(3)=1.732 ,find the value of (4)/(3sqrt(3)-2sqrt(2) )+(3)/(3sqrt(3)+2sqrt(2))

If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)