Surds & Indices Questions and Answers
Practice ModeShowing 10 of 25 questions
Q21
If 2^(2x) = 16, find x
Answer: Option A
Explanation: 16 = 2^4, so 2^(2x) = 2^4, therefore 2x = 4, x = 2
Q22
Simplify: (√50 × √18)/√25
Answer: Option A
Explanation: √50 = 5√2, √18 = 3√2, product = 15×2 = 30, √25 = 5, so 30/5 = 6
Q23
Find the value of 9^(3/2)
Answer: Option A
Explanation: 9^(3/2) = (3^2)^(3/2) = 3^3 = 27
Q24
Simplify: √98/√2
Answer: Option A
Explanation: √98 = 7√2, so 7√2/√2 = 7
Q25
If 10^x = 1000, find x
Answer: Option A
Explanation: 1000 = 10^3, so 10^x = 10^3, therefore x = 3