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MakcuM [25]
3 years ago
9

Find the geometric mean between each pair of numbers. sq root 49 and sq root841

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

<u>Answer:</u>

The geometric mean between each pair of numbers \bold{\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24}

<u>Solution:</u>

The Geometric mean between two numbers a and b is given as  Geometric mean = \bold{\sqrt{ab}}   --- eqn 1

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root for the numbers.

From question, given that two numbers are \sqrt{49} and \sqrt{841}

Hence we can say “a” = \sqrt{49} =7  

Similarly “b” = \sqrt{841} = 29  

We have to find the geometric mean between “7” and “29”

By using equation 1,  

Geometric mean between 7 and 29 = \sqrt{7 \times 29} = \sqrt{203} = 14.24

Hence the geometric mean between \sqrt{49} \text { and } \sqrt{841} \text { is } 14.24

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