Question

type the correct answer in the box. use nconsider this expression.$sqrt{x^{4}-y^{2}}$when $x = 3$ and $y = -6$, the value of the

Explanation:

Step1: Substitute given values

Substitute $x=3$, $y=-6$ into $\sqrt{x^4 - y^2}$:
$\sqrt{3^4 - (-6)^2}$

Step2: Calculate exponents first

Compute $3^4$ and $(-6)^2$:
$\sqrt{81 - 36}$

Step3: Simplify inside the square root

Subtract the two values:
$\sqrt{45}$

Step4: Simplify the radical

Factor out perfect square:
$\sqrt{9 \times 5} = 3\sqrt{5}$

Answer:

$3\sqrt{5}$