Question

if the ratio of a number and its square root is 3:1, then the value of 2 times the number is

Answer 1

Hiii. .....friends

The answer is here,

Let the number be x.

From the question,

$= > \: \frac{x}{ \sqrt{x} } = \frac{3}{1}$

Squaring on both sides,

$= > \: { (\frac{x}{ \sqrt{x} } )}^{2} = {3}^{2}$

$= > \: \frac{ {x}^{2} }{x} = 9$

$= > \: {x}^{2} = 9x$

$= > \: {x}^{2} - 9x = 0$

$= > \: x(x - 9) = 0$

=> x=9.

Twice the number => 2×9.

=> 18.

:-)Hope it helps u.

Answer 2

Answer:

18

Step-by-step explanation:

Let us suppose the number be x.

Then, its square root is $\sqrt x$

Now, the ratio of the number and its square root is 3:1

$\frac{x}{\sqrt x}=\frac{3}{1}$

We can rewrite x as

$\frac{\sqrt x\cdot \sqrt x}{\sqrt x}=\frac{3}{1}$

On cancel the common terms, we get

$\sqrt x=3$

Squaring both sides, we get

x = 9

Thus, the number is 9.

2 times 9 is

2×9 = 18

Thus, the answer is 18.