Finite Math Examples

$5 - 4 \sqrt{y^{6}} - 7 \sqrt{y^{6}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$5 - 4 \sqrt{{(y^{3})}^{2}} - 7 \sqrt{y^{6}}$

Step 1.2

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

$5 - 4 y^{3} - 7 \sqrt{y^{6}}$

Step 1.3

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$5 - 4 y^{3} - 7 \sqrt{{(y^{3})}^{2}}$

Step 1.4

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

$5 - 4 y^{3} - 7 y^{3}$

Step 2

Subtract $7 y^{3}$ from $- 4 y^{3}$ .

$5 - 11 y^{3}$