What is the cube root of 26?

Answer 1

To find the CUBE root , we note that 27 is 3^(3) . So '3' is the cube root of '27'.

Also 8 = 2^(3) . so '2' is the cube root of '8'.

So the cube root of 26 is between '2' & '3'.

Since it is very close to '3' ; (by 26 & 27) they we can try 2.9^3

2.9^(3) = 24.389 (2.9 is too low) So try 2.95

2.95^(3) = 25.67.. ( Still too low) Try 2.975

2.975^(3) = 26.333 .. ( Now too high) So try 2.97

2.97^(3) = 26.198 ( Too high Try 2.968

2.968^(3) = 26.145... (Too high ; try 2.965

2.965^(3) = 26.065... (Too high : try 2.964

2.964^(3) = 26.0396 (Too high )

You keep trying like this. Until you find the root to the required number of decimal places.

However on the calculator 26^(1/3) = 2.962496068....

Answer 2

Cube root of 26 = 2.9625 (approx)

Answer 3

2.96249607