Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to evaluate the expression $12\sqrt{12} \div 16\sqrt{18}$.

SimplificationRadicalsRationalizationExponents
2025/3/17

The problem is to simplify the expression $\frac{\sqrt{2}+1}{\sqrt{2}-1}$.

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

The problem is to simplify the expression $\frac{4}{2\sqrt{3}-3}$. This involves rationalizing the ...

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

The problem is to simplify the expression $\frac{2\sqrt{2}}{\sqrt{5}-\sqrt{3}}$. This requires ratio...

RadicalsSimplificationRationalization
2025/3/17

The problem is to simplify the expression $\frac{2\sqrt{2}}{\sqrt{5} - \sqrt{3}}$. This requires rat...

SimplificationRadicalsRationalizationConjugates
2025/3/17

Simplify the expression $\frac{\sqrt{3}+1}{\sqrt{3}-1}$.

SimplificationRadicalsRationalization
2025/3/17

The problem is to simplify the expression $\frac{-4}{-3\sqrt{5}-2}$. This involves rationalizing the...

RationalizationRadicalsSimplificationAlgebraic Manipulation
2025/3/17

The problem asks to simplify the expression $\frac{1}{\sqrt{2}+3}$. This requires rationalizing the ...

RationalizationRadicalsSimplificationAlgebraic Manipulation
2025/3/17

The problem is to simplify the expression $\frac{1}{\sqrt{2} + 3}$. This involves rationalizing the ...

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

Simplify the expression $\frac{\sqrt{3}}{\sqrt{3} + \sqrt{2}}$.

RadicalsSimplificationRationalizationConjugate
2025/3/17