The geometric mean of two numbers is the square root of their product. In you instance any two factors of 900 will have a geometric mean of 30
eg 2 & 450 (2 x 15 = 30, 30 x 15 = 450);
3 & 300 (3 x 10 = 30, 30 x 10 = 300);
6 & 150 (6 x 5 = 30, 30 x 5 = 150) etc etc
21.2132
The geometric mean of two numbers is calculated by taking the square root of their product. For 180 and 5, the geometric mean is √(180 × 5) = √900. This simplifies to 30, so the geometric mean of 180 and 5 is 30.
The geometric mean of two numbers, ( a ) and ( b ), is calculated using the formula ( \sqrt{a \times b} ). For 9 and 30, this is ( \sqrt{9 \times 30} = \sqrt{270} ). Simplifying ( \sqrt{270} ), we get ( 3\sqrt{30} ), which is approximately 16.43. Thus, the geometric mean of 9 and 30 is ( 3\sqrt{30} ) or approximately 16.43.
18.97367
The geometric mean is the square root of the product of two numbers. In this case, sqrt(24*30) = sqrt(720) =~ 26.8 A method for number lovers: 24=8x3=23x31. 30=6x5=21x31x51. 720 = 23+1x31+1x51 = 24x32x5 sqrt(720) = sqrt(24)xsqrt(32)xsqrt(5) = 22x31xsqrt5 = 12sqrt5 (=~12x2.236 =~ 26.8)
Geometric mean of 10 and 30 is 17.320508075688774. Look at link: "Calculation of the geometric mean of two numbers".
21.2132
The geometric mean of two numbers is calculated by taking the square root of their product. For 180 and 5, the geometric mean is √(180 × 5) = √900. This simplifies to 30, so the geometric mean of 180 and 5 is 30.
The geometric mean of two numbers, ( a ) and ( b ), is calculated using the formula ( \sqrt{a \times b} ). For 9 and 30, this is ( \sqrt{9 \times 30} = \sqrt{270} ). Simplifying ( \sqrt{270} ), we get ( 3\sqrt{30} ), which is approximately 16.43. Thus, the geometric mean of 9 and 30 is ( 3\sqrt{30} ) or approximately 16.43.
geometric mean of 6 and 30=√(6x30)=√180=6√5
The geometric mean of 18 and 30 is approximately 23. 2379 (√(18 x 30) = √540).
18.97367
geo. mean=√(30x4)=2√30 10.95445
sqrt(8*15) is the geometric mean. sqrt(120)=2*sqrt(30)
30 and 60
There are infinitely many pairs. One possible pair is 30 and 60.
What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?