Simplifying cube roots and higher roots worksheets Grade 10

How to do it

Take the largest perfect cube out of a cube root and the largest perfect fourth power out of a fourth root. Take x out in whole powers.

Example problems

1. $\sqrt{4x^{7}} =$$2x^{3}\sqrt{x}$Show answer
2. $\sqrt[3]{80} =$$2\sqrt[3]{10}$Show answer
3. $\sqrt{50x^{7}} =$$5x^{3}\sqrt{2x}$Show answer
4. $\sqrt[3]{x^{5}} =$$x\sqrt[3]{x^{2}}$Show answer

Exponents, radicals and complex numbers

1. Zero and negative exponents
2. Rational exponents
3. Converting between radicals and rational exponents
4. Exponent rules with rational exponents
5. Simplifying cube roots and higher roots
6. Rationalizing the denominator
7. Solving radical equations
8. Imaginary numbers and powers of i
9. Adding, subtracting and multiplying complex numbers
10. Dividing complex numbers