Solve ((40 sqrt((10 * 923) - (101^2))) / 101)^2

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Example problems

Type your math problem... ((40 sqrt((10 * 923) - (101^2))) / 101)^2

Question

Simplify the expression

\frac{3884 0 ^{2} s ^{2} q ^{2} r ^{2} t ^{2}}{10201}

Evaluate

((40 s q r t ((10 \times 923) - 10 1^{2})) \div 101)^{2}

Multiply the numbers

((40 s q r t (9230 - 10 1^{2})) \div 101)^{2}

Subtract the numbers

More Steps

Simplify

9230 - 10 1^{2}

Evaluate the power

9230 - 10201

Subtract the numbers

- 971

((40 s q r t (- 971)) \div 101)^{2}

Multiply

More Steps

Multiply the terms

40 s q r t (- 971)

Rewrite the expression

- 40 s q r t \times 971

Multiply the terms

- 38840 s q r t

((- 38840 s q r t) \div 101)^{2}

Divide the terms

More Steps

Evaluate

(- 38840 s q r t) \div 101

Rewrite the expression

\frac{- 38840 s q r t}{101}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{38840 s q r t}{101}

(- \frac{38840 s q r t}{101})^{2}

Rewrite the expression

\frac{( 38840 s q r t ) ^{2}}{10 1 ^{2}}

To raise a product to a power,raise each factor to that power

\frac{3884 0 ^{2} s ^{2} q ^{2} r ^{2} t ^{2}}{10 1 ^{2}}

Solution

\frac{3884 0 ^{2} s ^{2} q ^{2} r ^{2} t ^{2}}{10201}

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