Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to multiply and simplify the expression $7\sqrt{x}(3\sqrt{5}-9\sqrt{x})$. We assume tha...
SimplificationRadicalsExponents
2025/4/20
The problem is to simplify the expression $\sqrt[4]{81a^{16}b^4}$. It is assumed that all variables...
ExponentsRadicalsSimplificationAlgebraic Expressions
2025/4/20
The problem asks to combine the expression $5\sqrt{8} + \sqrt{50}$ and simplify it.
RadicalsSimplificationAlgebraic Manipulation
2025/4/20
The problem asks us to simplify the expression $\frac{4y}{\sqrt{3} + \sqrt{2}}$ by rationalizing the...
RationalizationRadicalsAlgebraic Manipulation
2025/4/20
Simplify the expression $\frac{-36x^2y^{-1/4}}{6x^{-1/5}y}$ and express the answer with positive exp...
ExponentsSimplificationQuotient Rule
2025/4/20
We are asked to simplify the expression $3\sqrt{45} - \sqrt{5}$.
SimplificationRadicalsSquare RootsExpression Manipulation
2025/4/20
The problem asks us to simplify the expression $(\frac{2x^3}{y})^{-3}$ and express the answer with p...
ExponentsSimplificationAlgebraic ExpressionsPower of a Quotient RulePower of a Product RulePower of a Power Rule
2025/4/20
Simplify the expression $\frac{a^{\frac{3}{20}}}{a^{\frac{1}{5}}}$ and express the answer with posit...
ExponentsSimplificationAlgebraic Expressions
2025/4/20
The problem asks to express $(\sqrt[7]{4x})^3$ with a rational exponent. We are given that $x$ repre...
ExponentsRadicalsSimplification
2025/4/20
The problem asks to simplify the expression $(\sqrt{7} - 2\sqrt{3})^2$.
SimplificationExponentsRadicalsAlgebraic Manipulation
2025/4/20