Evaluate (4/3* square root of 2)-50/27

$(\frac{4}{3} \cdot \sqrt{2}) - \frac{50}{27}$

Step 1

Combine $\frac{4}{3}$ and $\sqrt{2}$ .

$\frac{4 \sqrt{2}}{3} - \frac{50}{27}$

Step 2

To write $\frac{4 \sqrt{2}}{3}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{4 \sqrt{2}}{3} \cdot \frac{9}{9} - \frac{50}{27}$

Step 3

Write each expression with a common denominator of $27$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4 \sqrt{2}}{3}$ by $\frac{9}{9}$ .

$\frac{4 \sqrt{2} \cdot 9}{3 \cdot 9} - \frac{50}{27}$

Multiply $3$ by $9$ .

$\frac{4 \sqrt{2} \cdot 9}{27} - \frac{50}{27}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \sqrt{2} \cdot 9 - 50}{27}$

Step 5

Multiply $9$ by $4$ .

$\frac{36 \sqrt{2} - 50}{27}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{36 \sqrt{2} - 50}{27}$

Decimal Form:

$0.03376623 \dots$