Simplify 8x+ square root of 1- square root of 9y- square root of 9x^2

$8 x + \sqrt{1} - \sqrt{9 y} - \sqrt{9 x^{2}}$

Step 1

Simplify each term.

Any root of $1$ is $1$ .

$8 x + 1 - \sqrt{9 y} - \sqrt{9 x^{2}}$

Rewrite $9$ as $3^{2}$ .

$8 x + 1 - \sqrt{3^{2} y} - \sqrt{9 x^{2}}$

Pull terms out from under the radical.

$8 x + 1 - (3 \sqrt{y}) - \sqrt{9 x^{2}}$

Multiply $3$ by $- 1$ .

$8 x + 1 - 3 \sqrt{y} - \sqrt{9 x^{2}}$

Rewrite $9 x^{2}$ as ${(3 x)}^{2}$ .

$8 x + 1 - 3 \sqrt{y} - \sqrt{{(3 x)}^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$8 x + 1 - 3 \sqrt{y} - (3 x)$

Multiply $3$ by $- 1$ .

$8 x + 1 - 3 \sqrt{y} - 3 x$

Step 2

Subtract $3 x$ from $8 x$ .

$5 x + 1 - 3 \sqrt{y}$