Answer:
The geometric mean between each pair of numbers [tex]\bold{\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24}[/tex]
Solution:
The Geometric mean between two numbers a and b is given as Geometric mean = [tex]\bold{\sqrt{ab}}[/tex] --- 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 [tex]\sqrt{49} and \sqrt{841}[/tex]
Hence we can say “a” = [tex]\sqrt{49}[/tex] =7
Similarly “b” = [tex]\sqrt{841}[/tex] = 29
We have to find the geometric mean between “7” and “29”
By using equation 1,
Geometric mean between 7 and 29 = [tex]\sqrt{7 \times 29} = \sqrt{203}[/tex] = 14.24
Hence the geometric mean between [tex]\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24[/tex]
