Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to multiply and simplify the expression $-2\sqrt{a}(\sqrt{7b}+3\sqrt{6})$. We as...
Algebraic simplificationRadicalsExpressions
2025/4/21
The problem asks to multiply and simplify the expression $8\sqrt{a}(6\sqrt{b} - 3)$. We are to assum...
SimplificationRadicalsExponents
2025/4/21
The problem requires us to multiply and simplify the expression $(5x\sqrt{3x})(-6\sqrt{21xy})$. We ...
RadicalsSimplificationExponentsAlgebraic Manipulation
2025/4/21
The problem asks us to simplify the expression $\frac{x}{\sqrt{7} - \sqrt{5}}$ by rationalizing the ...
Algebraic ManipulationRationalizationRadicals
2025/4/21
The problem asks to simplify the expression $\frac{2y}{\sqrt{11} + \sqrt{10}}$ by rationalizing the ...
Algebraic ManipulationRationalizationSimplificationRadicals
2025/4/21
The problem asks us to simplify the expression $\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}$ by ...
RationalizationRadicalsSimplificationAlgebraic Manipulation
2025/4/21
The problem asks us to combine the expression $3\sqrt{3x} + 4\sqrt{75x} + 3\sqrt{48x}$, assuming tha...
RadicalsSimplificationAlgebraic Expressions
2025/4/21
The problem requires us to simplify the expression $\sqrt{12} - \sqrt{108} + \sqrt{48}$.
RadicalsSimplificationAlgebraic Expressions
2025/4/21
The problem states that the rational expression $\frac{3x-1}{1-3x}$ when simplified is equal to $-1$...
Rational ExpressionsSimplificationAlgebraic ManipulationDomain Restrictions
2025/4/21
The problem consists of four true/false statements that need to be evaluated. i) The number $\pi^0$ ...
True/FalseRational NumbersQuadratic EquationsRational ExpressionsExponentsSimplification
2025/4/21