Pre-Algebra Examples

$\sqrt{98} \cdot 0.4 \sqrt{45}$

Step 1

Rewrite $98$ as $7^{2} \cdot 2$ .

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Step 1.1

Factor $49$ out of $98$ .

$\sqrt{49 (2)} \cdot (0.4 \sqrt{45})$

Step 1.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 2} \cdot (0.4 \sqrt{45})$

$\sqrt{7^{2} \cdot 2} \cdot (0.4 \sqrt{45})$

Step 2

Pull terms out from under the radical.

$7 \sqrt{2} \cdot (0.4 \sqrt{45})$

Step 3

Rewrite $45$ as $3^{2} \cdot 5$ .

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Step 3.1

Factor $9$ out of $45$ .

$7 \sqrt{2} \cdot (0.4 \sqrt{9 (5)})$

Step 3.2

Rewrite $9$ as $3^{2}$ .

$7 \sqrt{2} \cdot (0.4 \sqrt{3^{2} \cdot 5})$

$7 \sqrt{2} \cdot (0.4 \sqrt{3^{2} \cdot 5})$

Step 4

Pull terms out from under the radical.

$7 \sqrt{2} \cdot (0.4 (3 \sqrt{5}))$

Step 5

Multiply $0.4 (3 \sqrt{5})$ .

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Step 5.1

Multiply $3$ by $0.4$ .

$7 \sqrt{2} \cdot (1.2 \sqrt{5})$

Step 5.2

Multiply $1.2$ by $\sqrt{5}$ .

$7 \sqrt{2} \cdot 2.68328157$

$7 \sqrt{2} \cdot 2.68328157$

Step 6

Multiply $7 \sqrt{2} \cdot 2.68328157$ .

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Step 6.1

Multiply $2.68328157$ by $7$ .

$18.78297101 \sqrt{2}$

Step 6.2

Multiply $18.78297101$ by $\sqrt{2}$ .

$26.56313234$

$26.56313234$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$