Question

What to the 2nd power equal 9/16

Answer 1

Answer:

$\pm{\frac{3}{4}}$  to the 2nd power equals  $\frac{9}{16}$

Step-by-step explanation:

Let the unknown number which is raised to 2nd power be = $x$

So, the expression can be written as:

$x^2=\frac{9}{16}$

Solving for $x$

Taking square root both sides to remove the 2nd power.

$\sqrt{x^2}=\pm\sqrt{\frac{9}{16}}$

$x=\pm\sqrt{\frac{9}{16}}$

Since 9 and 16 are perfect square, we can write them in 2nd powers of 3 and 4 respectively.

$x=\pm\sqrt{\frac{3^2}{4^2}}$

∴ $x=\pm{\frac{3}{4}}$