Trigonometry Examples

$\sqrt{\frac{{(2 - 8.33)}^{2} {(16 - 8.33)}^{2} {(7 - 8.33)}^{2}}{3}}$

Step 1

Simplify by subtracting numbers.

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Step 1.1

Subtract $8.33$ from $2$ .

$\sqrt{\frac{{(- 6.33)}^{2} {(16 - 8.33)}^{2} {(7 - 8.33)}^{2}}{3}}$

Step 1.2

Subtract $8.33$ from $16$ .

$\sqrt{\frac{{(- 6.33)}^{2} \cdot {7.67}^{2} {(7 - 8.33)}^{2}}{3}}$

Step 1.3

Subtract $8.33$ from $7$ .

$\sqrt{\frac{{(- 6.33)}^{2} \cdot {7.67}^{2} {(- 1.33)}^{2}}{3}}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $- 6.33$ to the power of $2$ .

$\sqrt{\frac{40.0689 \cdot {7.67}^{2} {(- 1.33)}^{2}}{3}}$

Step 2.2

Raise $7.67$ to the power of $2$ .

$\sqrt{\frac{40.0689 \cdot 58.8289 {(- 1.33)}^{2}}{3}}$

Step 2.3

Raise $- 1.33$ to the power of $2$ .

$\sqrt{\frac{40.0689 \cdot 58.8289 \cdot 1.7689}{3}}$

Step 2.4

Combine exponents.

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Step 2.4.1

Multiply $40.0689$ by $58.8289$ .

$\sqrt{\frac{2357.20931121 \cdot 1.7689}{3}}$

Step 2.4.2

Multiply $2357.20931121$ by $1.7689$ .

$\sqrt{\frac{4169.66755059}{3}}$

Step 3

Divide $4169.66755059$ by $3$ .

$\sqrt{1389.88918353}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1389.88918353}$

Decimal Form:

$37.28121757 \dots$