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Harrizon [31]
2 years ago
5

If the geometric mean of a and 28 is 16 sqrt 7 find a

Mathematics
2 answers:
kozerog [31]2 years ago
8 0

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \sqrt{ab} , then

\sqrt{28a} = 16\sqrt{7} ( square both sides )

28a = (16\sqrt{7} )² = 1792 ( divide both sides by 28 )

a = 64

adelina 88 [10]2 years ago
8 0

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a

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