Question

Explain why $7+\sqrt{9}$ is not equal to $\sqrt{7+9}$.

Short answer

The expressions $7+\sqrt{9}\mathrm{and}\sqrt{7+9}$are not equal because after simplifying these two expressions we got different answers.

Step-by-step solution

Step 1. Given information.

The given statement is:

Explain why$7+\sqrt{9}\mathrm{and}\sqrt{7+9}$are not equal.

Step 2. Simplify the expression 7+9.

$7+\sqrt{9}$

Solve the square root,

$7+3$

add,

$10$

Step 3. Simplify the expression 7+9.

$\sqrt{7+9}$

Add inside the square root,

$\sqrt{16}$

Simplify the square root,

$4$

Therefore$7+\sqrt{9}\ne \sqrt{7+9}$.