Finite Math Examples

$23$ , $32$ , $45$ , $56$

The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.

$\sqrt{\frac{{(23)}^{2} + {(32)}^{2} + {(45)}^{2} + {(56)}^{2}}{4}}$

Simplify the result.

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Remove parentheses around $23$ .

$\sqrt{\frac{23^{2} + {(32)}^{2} + {(45)}^{2} + {(56)}^{2}}{4}}$

Raise $23$ to the power of $2$ .

$\sqrt{\frac{529 + {(32)}^{2} + {(45)}^{2} + {(56)}^{2}}{4}}$

Remove parentheses around $32$ .

$\sqrt{\frac{529 + 32^{2} + {(45)}^{2} + {(56)}^{2}}{4}}$

Raise $32$ to the power of $2$ .

$\sqrt{\frac{529 + 1024 + {(45)}^{2} + {(56)}^{2}}{4}}$

Remove parentheses around $45$ .

$\sqrt{\frac{529 + 1024 + 45^{2} + {(56)}^{2}}{4}}$

Raise $45$ to the power of $2$ .

$\sqrt{\frac{529 + 1024 + 2025 + {(56)}^{2}}{4}}$

Remove parentheses around $56$ .

$\sqrt{\frac{529 + 1024 + 2025 + 56^{2}}{4}}$

Raise $56$ to the power of $2$ .

$\sqrt{\frac{529 + 1024 + 2025 + 3136}{4}}$

Add $529$ and $1024$ .

$\sqrt{\frac{1553 + 2025 + 3136}{4}}$

Add $1553$ and $2025$ .

$\sqrt{\frac{3578 + 3136}{4}}$

Add $3578$ and $3136$ .

$\sqrt{\frac{6714}{4}}$

Divide $6714$ by $4$ .

$\sqrt{1678.5}$

The result can be shown in both exact and decimal forms.

Exact Form:

$\sqrt{1678.5}$

Decimal Form:

$40.96950085 \dots$

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