Math Problem Statement

√3+√5/√3-√2

Solution

To simplify the expression 3+53−2\frac{\sqrt{3} + \sqrt{5}}{\sqrt{3} - \sqrt{2}}, we'll follow these steps:

  1. Multiply by the conjugate: To rationalize the denominator, multiply both the numerator and denominator by the conjugate of the denominator 3+2\sqrt{3} + \sqrt{2}.

    The

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Rationalization
Radicals

Formulas

(a + b)(a - b) = a^2 - b^2

Theorems

Conjugate Multiplication Theorem

Suitable Grade Level

Grades 9-12

Related Recommendation

Simplifying Radical Expression √3 + √5 / √3 - √2

Simplifying Radical Expression √(3+√5)/√(3-√5) + √(3-√5)/√(3+√5)

Simplifying √5 + 2 / √3 - √2 by Rationalizing the Denominator

Simplifying Radical Expression: Root(3) - Root(5) over Root(5) + Root(3)

Rationalizing the Denominator: Simplify 3 / (5 - 2√2)