Question

x/24=72/ √x find the value of x​

Answer 1

Answer:

144

Step-by-step explanation:

x/24=72/√x

x√x=24×72

x√x=1728

x^3/2=1728

x=144

this is your answer ❣️❣️✌️ ✌️

Answer 2

The value of $x$ is 144.

Step-by-step explanation:

Given:

$\frac{x}{24} =\frac{72}{\sqrt{x} }$

To Find:

The value of $x$  ​.

Concept Used:

The cross Multiplication method is used to find the unknown variable in an equation. By applying cross multiplying method, the numerator and denominator of the the given expression or fractions are multiplied.

If p/q = r/s is an expression, then the formula of cross multiply can be given as:

p × q = r × s

Cross multiplication is not applicable if any of the denominators (r and s) is equal to zero.

Solution:

As given,$\frac{x}{24} =\frac{72}{\sqrt{x} }$.

$\frac{x}{24} =\frac{72}{\sqrt{x} }$

Applying the cross multiplication rule.

$x\times x^{\frac{1}{2} } =72\times24$

$x^{(1+\frac{1}{2}) } =1728$

$x^{\frac{3}{2} } =1728$

$x=(1728)^{\frac{2}{3} }$

   $=(2985984)^{\frac{1}{3} }$

   $=144$

Thus, the value of $x$ is 144.

 

  #SPJ2