Radical Rationals: Solving (m3n/p)1/2

Thread starter SETHOSCOTT
Start date Jun 10, 2009
Tags

Radical

In summary, radical rationals are expressions that involve both rational numbers and radicals. To solve an expression with radical rationals, use the same rules as solving an expression with rational numbers, but also consider the rules for radicals. The formula for solving (m3n/p)1/2 is √(m3n/p) or (m3n/p)^(1/2). The expression can be simplified further using the rules for simplifying radicals, but there are restrictions such as the expression inside the radical must be a positive number and p cannot be equal to 0.

Jun 10, 2009

SETHOSCOTT

Homework Statement

(m³n/p)^1/2

Homework Equations

The Attempt at a Solution

I believe it's multiplied by p^1/2. Hurt me.

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Jun 10, 2009

rock.freak667

Homework Helper

(ab)ⁿ=aⁿbⁿ

(a/b)ⁿ=aⁿ/bⁿ

use those two rules.

Jun 10, 2009

Dick

Science Advisor

Homework Helper

So what exactly is the question?

Jul 4, 2009

SETHOSCOTT

Nvm, guys, figured it out, TY.

1. What are radical rationals?

Radical rationals are expressions that involve both rational numbers (numbers that can be written as a ratio of two integers) and radicals (square roots or higher order roots).

2. How do you solve an expression with radical rationals?

To solve an expression with radical rationals, you can follow the same rules as solving an expression with rational numbers, but you also need to take into account the rules for radicals. Simplify the expression as much as possible by combining like terms and using the rules for simplifying radicals. Then, solve for the variable using inverse operations.

3. What is the formula for solving (m3n/p)1/2?

The formula for solving (m3n/p)1/2 is √(m3n/p) which can also be written as (m3n/p)^(1/2). This means taking the square root of the entire expression.

4. Can you simplify the expression (m3n/p)1/2 further?

Yes, the expression (m3n/p)1/2 can be simplified further by using the rules for simplifying radicals. For example, if m=4, n=9, and p=2, the expression can be simplified to √(432/2) which can be further simplified to √(216) or 6√6.

5. Are there any restrictions or limitations when solving (m3n/p)1/2?

Yes, there are a few restrictions when solving (m3n/p)1/2. The expression inside the radical must be a positive number, so the values of m, n, and p must be chosen accordingly. Additionally, the value of p cannot be equal to 0 as division by 0 is undefined.