Question

Sole the following equation and Simplify and leave in radical form.

sqrt3^3sqrt2

Answer 1

The given eqaution can be written as

In this the exponent is irrational the value of can be calculated and the irrational power is calculated by approximating the irrational exponent by rational exponents that are closer and closer to the irrational one.

We know that

Now we can calculate the value of the equation by approximating to 1 decimal place as follows:

If we take i.e, upto 2 places of decimal then we can get the value more accurate as

In this way if we proceed we get a sequence of approximations and the value becomes more and more accurate.