Linear Algebra Examples

$\frac{0.107 - 0.1}{\frac{0.06}{\sqrt{40}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(0.107 - 0.1) \frac{\sqrt{40}}{0.06}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $40$ as $2^{2} \cdot 10$ .

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Step 2.1.1

Factor $4$ out of $40$ .

$(0.107 - 0.1) \frac{\sqrt{4 (10)}}{0.06}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$(0.107 - 0.1) \frac{\sqrt{2^{2} \cdot 10}}{0.06}$

Step 2.2

Pull terms out from under the radical.

$(0.107 - 0.1) \frac{2 \sqrt{10}}{0.06}$

Step 3

Subtract $0.1$ from $0.107$ .

$0.007 \frac{2 \sqrt{10}}{0.06}$

Step 4

Evaluate the root.

$0.007 \frac{2 \cdot 3.16227766}{0.06}$

Step 5

Multiply $2$ by $3.16227766$ .

$0.007 (\frac{6.32455532}{0.06})$

Step 6

Divide $6.32455532$ by $0.06$ .

$0.007 \cdot 105.40925533$

Step 7

Multiply $0.007$ by $105.40925533$ .

$0.73786478$