Question

The geometric mean of
three numbers 7,21 and 63 is
equal to​

Answer 1

Answer:

21

Step-by-step explanation:

geometric mean =√ 7 ×63

=√ 441

= 21

hope u understand

Answer 2

The geometric mean of three numbers 7 , 21 and 63 is 21

Given :

Three numbers 7 , 21 and 63

To find :

The geometric mean of three numbers 7 , 21 and 63

Concept :

For three numbers a , b , c their geometric mean

$\displaystyle \sf{ = \sqrt[3]{abc} }$

Solution :

Step 1 of 2 :

Write down the given numbers

Here the given three numbers are 7 , 21 and 63

Step 2 of 2 :

Find the geometric mean

We know that for three numbers a , b , c their geometric mean

$\displaystyle \sf{ = \sqrt[3]{abc} }$

Thus for the three numbers are 7 , 21 and 63 geometric mean

$\displaystyle \sf{ = \sqrt[3]{7 \times 21 \times 63} }$

$\displaystyle \sf{ = \sqrt[3]{7 \times (3 \times 7) \times (3 \times 3 \times 7)} }$

$\displaystyle \sf{ = \sqrt[3]{3 \times 3 \times 3 \times 7 \times 7 \times 7} }$

$\displaystyle \sf{ = \sqrt[3]{ {3}^{3} \times {7}^{3} } }$

$\displaystyle \sf{ = 3 \times 7 }$

$\displaystyle \sf{ = 21 }$

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