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Arithmetic · Arithmetic

Evaluate (0.6 - 0.5)/sqrt(0.55*0.45*(1/100 + 1/150))

1.556997888

Step by step

  1. 1.556997888 = 1.556997888

    Rewrite every fraction over the common denominator 300.

  2. 1.556997888 = \frac{1}{10 \sqrt{\frac{33}{8000}}}

    Multiply: 0.55·0.45(1/60) = 33/8000.

  3. \frac{1}{10 \sqrt{\frac{33}{8000}}} = \frac{\frac{40}{33} \sqrt{165}}{10}

    Power: 1/(√(33/8000)) = 40·√(165)/33.

  4. \frac{\frac{40}{33} \sqrt{165}}{10} = \frac{4 \sqrt{165}}{33}

    Multiply: (40·√(165)/33)/10 = 4·√(165)/33.

  5. \frac{4 \sqrt{165}}{33} = 1.55699789

    Simplify.

Reveal the answer
1.55699789