Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to solve the equation $3x^2 - 18 = 0$ using the square root property.

Quadratic EquationsSolving EquationsSquare Root Property
2025/4/15

The problem is to solve the equation $x^2 = 4$ using the square root property.

Quadratic EquationsSquare Root PropertySolving Equations
2025/4/15

The problem asks us to simplify the expression $\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}}$ by rati...

RadicalsRationalizationSimplificationAlgebraic Manipulation
2025/4/15

The problem is to simplify the expression $\frac{3y}{\sqrt{14} + \sqrt{13}}$ by rationalizing the de...

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/4/15

The problem asks us to simplify the expression $\frac{x}{\sqrt{13}-\sqrt{7}}$ by rationalizing the d...

Algebraic ManipulationRationalizing the DenominatorRadicalsSimplification
2025/4/15

Simplify the expression $\frac{x}{\sqrt{13}-\sqrt{7}}$ by rationalizing the denominator.

Algebraic simplificationRationalizationRadicals
2025/4/15

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