Question

Please solve this equation by simplifying

Answer 1

`10^2 / 5 * √(82) - \pi * 2`

Using order of operations, we need to carry out the exponents first:

`10^2=10 * 10=100`

`\implies 100 / 5 * √(82) - \pi * 2`

Then we need to carry out multiplication and division (it doesn't matter in which order):

`\implies 100 / 5 * √(82) - \pi * 2`

`\implies 20* √(82) - 2\pi`

`\implies 20√(82) - 2\pi`

Unless you have been given an approximation for pi, it cannot be simplified any further.

`20√(82) - 2\pi=1.748245175...`

Answer 2

Explanation:

`√(82)=9.06`

10² ÷ 5 *√82 - π*2 = 100÷ 5 *9.06 - 3.14*2

= 20 *9.06 - 3.14*2

= 181.2 - 6.28

= 174.92

or

10² ÷5 *√82 - π*2 = 100÷5 *√82 - 2π

= 20√82-2π