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Teacher's Notes Topic: Proof Geometric mean Here is the rule to find the geometric mean of two numbers. Multiply the two numbers together, then find the square root of the result. Example: geometric mean of 4 and 9 (a) For the two numbers 10 and x, the geometric mean is 30 What is the value of x ? (b) Reena says: 'For the two numbers -2 and 8, it is impossible to find the geometric mean.' Is Reena correct? Explain your answer. Is the geometric mean (when it exists) always between the two numbers? When you have one positive and one negative number there is a problem with this, but what if both numbers are negative? What if one number is zero? L7 Geometric mean Here is the rule to find the geometric mean of two numbers. Multiply the two numbers together, then find the square root of the result. Example: 9 geometric mean of 4 and (a) For the two numbers 10 and x, the geometric mean is 30 What is the value of x ? (b) Reena says: 'For the two numbers -2 and 8, it is impossible to find the geometric mean.' Is Reena correct? Explain your answer.
