Grade 9

An even root can be negative. (e.g. $$\sqrt[]{-25}=\ 5$$ )

An odd root can be negative. $$\sqrt[3]{-27}=3$$

I can simplify radical expressions that include addition and subtraction.

Simplify the radical expression below.

$$4\sqrt{10}+3\sqrt{10}=$$  

Simplify the given : $$15\sqrt[]{2}+3\sqrt[]{2}-10\sqrt[]{2}$$

$$4\ \sqrt[]{x-3}-5\ \sqrt[]{x-3}+6\ \sqrt[]{x-3}$$

$$\sqrt[]{3x}+5\ \sqrt[]{3x}\ -\ 2\ \sqrt[]{3x}$$

$$15\ \sqrt[3]{\left(x-4\right)}+5\ \sqrt[3]{\left(x-4\right)}-10\ \sqrt[3]{\left(x-4\right)}$$

$$\sqrt[6]{x^6}$$

$$\sqrt[10]{x^{10}}$$

$$\sqrt[2]{81}$$