Finite Math Examples

$f (x) = 3 \sqrt{50} \cdot (6 \sqrt{72}) \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$

Step 1

Remove unnecessary parentheses.

$f (x) = 3 \sqrt{50} \cdot (6 \sqrt{72}) \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$

Step 2

Combine exponents.

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Step 2.1

Multiply $6$ by $3$ .

$f (x) = 18 \sqrt{50} \sqrt{72} \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$

Step 2.2

Combine using the product rule for radicals.

$f (x) = 18 \sqrt{72 \cdot 50} \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$

Step 2.3

Multiply $72$ by $50$ .

$f (x) = 18 \sqrt{3600} \cdot (4 \sqrt{98}) \cdot (5 \sqrt{20})$

Step 2.4

Multiply $4$ by $18$ .

$f (x) = 72 \sqrt{3600} \sqrt{98} \cdot (5 \sqrt{20})$

Step 2.5

Combine using the product rule for radicals.

$f (x) = 72 \sqrt{98 \cdot 3600} \cdot (5 \sqrt{20})$

Step 2.6

Multiply $98$ by $3600$ .

$f (x) = 72 \sqrt{352800} \cdot (5 \sqrt{20})$

Step 2.7

Multiply $5$ by $72$ .

$f (x) = 360 \sqrt{352800} \sqrt{20}$

Step 2.8

Combine using the product rule for radicals.

$f (x) = 360 \sqrt{20 \cdot 352800}$

Step 2.9

Multiply $20$ by $352800$ .

$f (x) = 360 \sqrt{7056000}$