1What is the first law of indices?
Am × An = Am + n (add the powers when multiplying)
2What is the second law of indices?
Am / An = Am - n (subtract the powers when dividing)
3What is the third law of indices?
(am)n = amn (multiply the powers when raising a power to a power)
4What is a property of surds involving multiplication?
√ab = √a√b
5What is the result of A = (√a)²?
A = √a√a
6How do you simplify √12?
√12 = √4 × 3 = √4 × √3 = 2√3
7How do you simplify √3/16?
√3/16 = √3 / √16 = √3 / 4
8What is the expansion of (2√5 + 3√6)²?
(2√5 + 3√6)² = 20 + 12√30 + 54
9What is the simplified form of (2√5 + 3√6)²?
74 + 12√30
10Why might you need to rationalize the denominator?
to eliminate surds from the denominator
11How do you rationalize the denominator?
Multiply the top and bottom by the denominator (changing the sign in front of the surd)