Trigonometry Examples

$\sqrt{\frac{16 \cdot 52.83}{3.141 \cdot 60}}$

Step 1

Reduce the expression $\frac{16 \cdot 52.83}{3.141 \cdot 60}$ by cancelling the common factors.

Tap for more steps...

Step 1.1

Factor $4$ out of $16 \cdot 52.83$ .

$\sqrt{\frac{4 (4 \cdot 52.83)}{3.141 \cdot 60}}$

Step 1.2

Factor $4$ out of $3.141 \cdot 60$ .

$\sqrt{\frac{4 (4 \cdot 52.83)}{4 (0.78525 \cdot 60)}}$

Step 1.3

Cancel the common factor.

$\sqrt{\frac{4 (4 \cdot 52.83)}{4 (0.78525 \cdot 60)}}$

Step 1.4

Rewrite the expression.

$\sqrt{\frac{4 \cdot 52.83}{0.78525 \cdot 60}}$

Step 2

Cancel the common factor of $4$ and $60$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $4 \cdot 52.83$ .

$\sqrt{\frac{4 (52.83)}{0.78525 \cdot 60}}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $4$ out of $0.78525 \cdot 60$ .

$\sqrt{\frac{4 (52.83)}{4 (0.1963125 \cdot 60)}}$

Step 2.2.2

Cancel the common factor.

$\sqrt{\frac{4 \cdot 52.83}{4 (0.1963125 \cdot 60)}}$

Step 2.2.3

Rewrite the expression.

$\sqrt{\frac{52.83}{0.1963125 \cdot 60}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $0.1963125$ by $60$ .

$\sqrt{\frac{52.83}{11.77875}}$

Step 3.2

Divide $52.83$ by $11.77875$ .

$\sqrt{4.48519579}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{4.48519579}$

Decimal Form:

$2.11782808 \dots$