If the product of the extremes is 8, then the geometric mean is. A) 2. B) 2√2. C) 4

Question

Mathematics

Mario Monroe

4 February, 17:34

If the product of the extremes is 8, then the geometric mean is. A) 2. B) 2√2. C) 4

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Answers (1)

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Adriel Yoder · Answer 1

if,

p/x=x/q

then cross-multiplying gives x^2=pq

x^2=pq. Taking the square root of both sides, we get x=√pq as the geometric mean of p and q.

Hence in the given question the product of p and q is 8.

so,

x=√8

x=2√2