Basic Math Examples

${(\frac{5}{4} (4231081 - 2041^{2}))}^{\frac{1}{2}}$

Step 1

Simplify each term.

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Step 1.1

Raise $2041$ to the power of $2$ .

${(\frac{5}{4} \cdot (4231081 - 1 \cdot 4165681))}^{\frac{1}{2}}$

Step 1.2

Multiply $- 1$ by $4165681$ .

${(\frac{5}{4} \cdot (4231081 - 4165681))}^{\frac{1}{2}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $4165681$ from $4231081$ .

${(\frac{5}{4} \cdot 65400)}^{\frac{1}{2}}$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $65400$ .

${(\frac{5}{4} \cdot (4 (16350)))}^{\frac{1}{2}}$

Step 2.2.2

Cancel the common factor.

${(\frac{5}{4} \cdot (4 \cdot 16350))}^{\frac{1}{2}}$

Step 2.2.3

Rewrite the expression.

${(5 \cdot 16350)}^{\frac{1}{2}}$

Step 2.3

Multiply $5$ by $16350$ .

$81750^{\frac{1}{2}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$81750^{\frac{1}{2}}$

Decimal Form:

$285.91956910 \dots$