5.4 Radical functions (equations)

Solve the radical equation [math]\sqrt[3]{3x^2+4x+1}-x=1[/math]. If you have two or more answers, write the smallest one.

Solve the radical equation [math]\sqrt{\sqrt{3-x}}=\sqrt{\sqrt{\sqrt{4x}}}[/math]. If you have two or more answers, write the smallest one.

Solve the radical equation [math]x-\sqrt{x+11}=1[/math]. If you have two or more answers, write the smallest one.

Solve the radical equation [math]\sqrt{3\sqrt{x+1}}=\sqrt{x+3}[/math]. If you have two or more answers, write the smallest one.

Solve the radical equation [math]\sqrt{2x-5}-\sqrt{3x+4}=-2[/math]. If you have two or more answers, write the smallest one.

If [math]x=\sqrt{a}[/math] is a solution to the equation [math]x^2=\sqrt{x^4-4x^2+3}+2[/math], what is the value of [math]a[/math]?

Solve the equation [math]\dfrac{2}{\sqrt{x}+2}+\dfrac{1}{2\sqrt{x}-1}=\dfrac{10}{21}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{\left(\sqrt[3]{x^2-3x+3}\right)^2=1}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{x\sqrt[3]{x+1}-2\sqrt[3]{x+1}=0}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{x-\sqrt{4x}-3=0}[/math]. If you have two or more answers, write the biggest one.

Solve the equation [math]\displaystyle{\sqrt{x-1}+\sqrt{x+4}=5}[/math]. If you have two or more answers, write the biggest one.

How many solutions does the equation [math]\sqrt{x^2-3}+1=0[/math] have?

Solve the equation [math]\dfrac{1}{\sqrt{2x+3}}=\dfrac{2}{2x+3}[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]\sqrt{2(\sqrt{-x}+1)^2+1}=3[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]\sqrt[3]{(x-2)^3+8}=x[/math]. If you have two or more answers, write the smallest one.

Solve [math]\sqrt{3-y}-\sqrt{y+7}=4[/math]. If the equation has no solutions, write “None”.

Solve [math]\sqrt{4-x}-\sqrt{6+x}=\sqrt{14+2x}[/math]. If you have two or more answers, write the biggest one.

Solve for [math]x[/math] [math]\sqrt{3x^2-3}+9=-3x[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]2x+\sqrt{x+1}=8[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]\sqrt[4]{3x-2}=2[/math]. If you have two or more answers, write the smallest one.

Solve the equation [math]\sqrt{2x+5}-\sqrt{x-1}=2[/math]. If you have two or more answers, write the smallest one.