Basic Math Examples

$| \sqrt{2} - 3 | + | \sqrt{2} - 1 |$

Step 1

Simplify each term.

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Step 1.1

$\sqrt{2} - 3$ is approximately $- 1.58578643$ which is negative so negate $\sqrt{2} - 3$ and remove the absolute value

$- (\sqrt{2} - 3) + | \sqrt{2} - 1 |$

Step 1.2

Apply the distributive property.

$- \sqrt{2} - - 3 + | \sqrt{2} - 1 |$

Step 1.3

Multiply $- 1$ by $- 3$ .

$- \sqrt{2} + 3 + | \sqrt{2} - 1 |$

Step 1.4

$\sqrt{2} - 1$ is approximately $0.41421356$ which is positive so remove the absolute value

$- \sqrt{2} + 3 + \sqrt{2} - 1$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- \sqrt{2}$ and $\sqrt{2}$ .

$0 + 3 - 1$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add $0$ and $3$ .

$3 - 1$

Step 2.2.2

Subtract $1$ from $3$ .

$2$