HS Math Solutions - Algebra: Radical Functions

Algebra: Radical Functions

Contents (2 topics • 25 videos)

Solving Radical Equations

Video Practice Problems Playlist on YouTube

Solve.
\[ \sqrt{2x-3}=7 \]

Solve.
\[ x=\sqrt{12-x} \]

Solve.
\[ \sqrt{5+n}=\sqrt{-1-2n} \]

Solve.
\[ \sqrt{m+3}=-2m \]

Solve.
\[ y=\sqrt{2y+3}-2 \]

Solve.
\[ \sqrt{4-2x}-1=\sqrt{1-9x} \]

Solve.
\[ \sqrt{2n-1}-\sqrt{8n+1}+2=0 \]

Solve.
\[ \sqrt{x+4}= \sqrt[3]{7x-8} \]

Solve.
\[ \sqrt{x-1}=\sqrt[4]{8x+1} \]

Solve.
\[ \sqrt[3]{x-\sqrt{x-6}}=\sqrt{x-6} \]

Solve.
\[ \bigg( \sqrt[3]{x}-\frac{5}{2} \bigg)^{4}+ \bigg( \sqrt[3]{x}-\frac{7}{2} \bigg)^{4}=1 \]

Solve.
\[ \sqrt{3x+7}-2=\sqrt[3]{3x-1} \]

Solve.
\[ \sqrt[3]{x-3}=x-9 \]

Solve.
\[ \sqrt{-x}=x^{6} \]

Solve.
\[ \sqrt{x^2+5x+2} - \sqrt{x^2+3x+3} = 1-2x \]

Finding the Domain of Radical Functions

Video Practice Problems Playlist on YouTube

Determine the domain of the function.
\[ f(x)=\sqrt{x-2}+7 \]

Determine the domain of the function.
\[ g(x)=\sqrt{3-5x}-2 \]

Determine the domain of the function.
\[ f(x)=\sqrt{x^2-5x+4} \]

Determine the domain of the function.
\[ f(x)=\sqrt[4]{x^3-4x^2-4x+16} \]

Determine the domain of the function.
\[ g(x)=\frac{x-3}{\sqrt{x+4}} \]

Determine the domain of the function.
\[ f(x)=\frac{x+1}{\sqrt{x^3-x}} \]

Determine the domain of the function.
\[ f(x)=\sqrt{8-x}-\sqrt{x-2} \]

Determine the domain of the function.
\[ g(x)=\sqrt{3-\sqrt{x-2}} \]

Determine the domain of the function.
\[ h(x)=\sqrt{\sqrt{x}-\frac{x}{2}} \]

Determine the domain of the function.
\[ f(x)=\frac{1}{\sqrt{1-\sqrt{x-x^2}}} \]