# Solving Polynomial: x^(3/2) + (1+x^3)^(1/2)

• jessawells
In summary, the conversation is about simplifying the expression x^(3/2) + (1+x^3)^(1/2) to have only one term of x. The solution involves putting one member on the other side and squaring both sides. However, the original poster does not have the expression set equal to zero, making the solution more complicated.
jessawells
hi,

can anyone show me how to solve this:

x^(3/2) + (1+x^3)^(1/2)

i want to get it to so that there's only 1 term of x. but i don't know how to expand the squared root. any help is appreciated.

You have

$$\sqrt{x^3} + \sqrt{1+x^3} =0$$

??

put one member on the other side, square both side.

no, that's the problem. i don't have it "=0". i just have one to simplify the expression.

First of all, please do not double post. People will help you if you post once. Secondly, I have already responded to this post in another section.

Incidentally, that was here. That thread has been closed.

## What is a polynomial?

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents. It can have one or more terms, and the terms can be added, subtracted, or multiplied together.

## What is the degree of a polynomial?

The degree of a polynomial is the highest exponent in the polynomial. For example, in the polynomial x^3 + 2x^2 + 5x + 4, the degree is 3.

## How do you solve a polynomial?

To solve a polynomial, you need to find the values of the variables that make the polynomial equal to zero. This can be done by factoring, using the quadratic formula, or by using synthetic division and the remainder theorem.

## How do you solve a polynomial with fractional exponents?

To solve a polynomial with fractional exponents, you can rewrite the expression using rational exponents. For example, x^(3/2) can be rewritten as (x^3)^(1/2). Then, you can use the same techniques as solving a polynomial with whole number exponents.

## What is the solution to x^(3/2) + (1+x^3)^(1/2)?

The solution to x^(3/2) + (1+x^3)^(1/2) cannot be expressed in a simplified form. It is an irrational number that can be approximated using a calculator or by using numerical methods.

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