Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to simplify the expression $\frac{x}{\sqrt{13} - \sqrt{7}}$ by rationalizing the...
Algebraic ManipulationRationalizationRadicalsSimplification
2025/4/15
The problem is to simplify the expression $\frac{\sqrt{5}}{\sqrt{15x}}$ by rationalizing the denomin...
RadicalsSimplificationRationalizing the DenominatorAlgebraic Expressions
2025/4/15
The problem asks us to rationalize the denominator of the expression $\frac{1}{\sqrt{3y}}$ and simpl...
RationalizationSimplificationRadicals
2025/4/15
The problem asks us to simplify the expression $\frac{3}{\sqrt{7}}$ by rationalizing the denominator...
RadicalsRationalizationSimplification
2025/4/15
Simplify the cube root expression: $\sqrt[3]{\frac{8x^8y^9}{27}}$.
RadicalsExponentsSimplificationCube Roots
2025/4/15
The problem asks us to simplify the expression $\sqrt{\frac{28x}{25y^6}}$. We assume that all varia...
SimplificationRadicalsExponents
2025/4/15
The problem asks us to simplify the expression $(\sqrt{8x-3}+3)^2$, assuming that all variables repr...
Algebraic SimplificationRadicalsBinomial Expansion
2025/4/15
The problem asks to multiply and simplify the expression $(\sqrt{7} - 3\sqrt{3})^2$.
ExponentsSimplificationRadicalsExpanding Expressions
2025/4/15
The problem asks to multiply and simplify the expression $(\sqrt{2} + 3\sqrt{x})(4\sqrt{2} + 6\sqrt{...
Algebraic ExpressionSimplificationRadicalsDistributive Property
2025/4/15
The problem asks to multiply and simplify the expression $(5\sqrt{7} + \sqrt{11})(\sqrt{7} - 4\sqrt{...
SimplificationRadicalsAlgebraic Expressions
2025/4/15