Find the geometric mean between 2a and 8a^3 - Vidyadip

Question

Find the geometric mean between
$2a$ and $8a^3$

✓

Answer

Geomatric mean between $2 a$ and $8 a ^3=\sqrt{2 a \times 8 a^3}=\sqrt{16 \times a^4}=4 a^2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[1 Mark Question Answer]" from Geometric Progression→Geometric Progression — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

Find the distance of the following points from origin.
$(a+b, a-b)$

Solve the following equation by factorisation :
$x^2 + 6x – 16 = 0$

If $A =\left|\begin{array}{lll}1 & 9 & 4 \\ 5 & 0 & 3\end{array}\right|,$ find negative $A$

Write first four terms of the A.P., when the first term a and the common difference d are given as follows : a = 10, d = 10

Find the sub-triplicate ratio of $x^3: 125 y^3$

Discuss the nature of the roots of equation: $5 x^2-6 \sqrt{5} x+9=0$

Wherever possible write of the following as a single matrix
$\left[\begin{array}{lll}2 & 3 & 4 \\ 5 & 6 & 7\end{array}\right]-\left[\begin{array}{ccc}0 & 2 & 3 \\ 6 & -1 & 0\end{array}\right]$

A model of an aeroplane is made to a scale of 1 : 400. Calculate :
the length, in cm, of the model; if the length of the aeroplane is 40 m

If A = [8 -3] and B = [4 -5]; find A + B

Given $M=\left[\begin{array}{cc}5 & -3 \\ -2 & 4\end{array}\right]$$M^t$ find its transpose matrix $M^t$ if possible find $M^t-M$