Solve sqrt((4282 * (10^13)) / 4000)

Question

Calculate the value

\frac{12846}{20}

Alternative Form

\approx 5.66701

Evaluate

\frac{4282 ( 1 0 ^{1} \times 3 )}{4000}

Remove the parentheses

\frac{4282 \times 1 0 ^{1} \times 3}{4000}

Evaluate the power

\frac{4282 \times 10 \times 3}{4000}

Reduce the fraction

More Steps

Evaluate

\frac{4282 \times 10 \times 3}{4000}

Multiply the terms

More Steps

Evaluate

4282 \times 10 \times 3

Multiply the terms

42820 \times 3

Multiply the numbers

128460

\frac{128460}{4000}

Reduce the fraction

\frac{6423}{200}

\frac{6423}{200}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{6423}{200}

Simplify the radical expression

More Steps

Evaluate

200

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

100 \times 2

Write the number in exponential form with the base of 10

1 0^{2} \times 2

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

1 0^{2} \times 2

Reduce the index of the radical and exponent with 2

102

\frac{6423}{10 2}

Multiply by the Conjugate

\frac{6423 \times 2}{10 2 \times 2}

Multiply the numbers

More Steps

Evaluate

6423 \times 2

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

6423 \times 2

Calculate the product

12846

\frac{12846}{10 2 \times 2}

Solution

More Steps

Evaluate

102 \times 2

When a square root of an expression is multiplied by itself,the result is that expression

10 \times 2

Multiply the terms

20

\frac{12846}{20}

Alternative Form

\approx 5.66701

Show Solution