Solve arccos(15/((sqrt11)(sqrt45))

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Example problems

Type your math problem... arccos(15/((sqrt11)(sqrt45))

Question

Calculate the value

arccos (\frac{5}{55})

Alternative Form

\approx 0.830916

Evaluate

arccos \frac{15}{( 11 ) ( 45 )}

Evaluate the power

arccos \frac{15}{11 \times ( 45 )}

Simplify the root

More Steps

Evaluate

45

Write the expression as a product where the root of one of the factors can be evaluated

9 \times 5

Write the number in exponential form with the base of 3

3^{2} \times 5

The root of a product is equal to the product of the roots of each factor

3^{2} \times 5

Reduce the index of the radical and exponent with 2

35

arccos (\frac{15}{11 \times 3 5})

Solution

More Steps

Evaluate

\frac{15}{11 \times 3 5}

Multiply the terms

More Steps

Evaluate

11 \times 5

The product of roots with the same index is equal to the root of the product

11 \times 5

Calculate the product

55

\frac{15}{55 \times 3}

Reduce the fraction

\frac{5}{55}

arccos (\frac{5}{55})

Alternative Form

\approx 0.830916

Show Solution

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