Solve this because I'm horrible at maths √(1989 * 1989 + 1989 * 1989) + 13 - 2007 ​

Question

Solve this because I'm horrible at maths


`√(1989 * 1989 + 1989 * 1989) + 13 - 2007`
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Answer 1

`\tt √(1989 * 1989 + 1989 * 1989) + 13 - 2007`

• Write the repeated multiplication in exponential form

`\tt \sqrt{ {1989}^(2) + {1989}^(2) } + 13 - 2007`

• Collect like terms

`\tt \sqrt{2 * {1989}^(2) } + 13 - 2007`

Simplify the radical expression

`\tt1989 √(2) + 13 - 2007`

Calculate the difference

`\tt1989 √(2) - 1994`

Calculate the approx value

`\tt \approx818.87`

Answer 2

818.87

Step-by-step explanation:

`\hookrightarrow \sf √(1989\cdot 1989+1989\cdot 1989)+13-2007`

`\hookrightarrow \sf √(1989\cdot \:1989+1989\cdot \:1989)-1994`

`\hookrightarrow \sf 1989√(2)-1994`

`\hookrightarrow \sf 818.8707756`

`\hookrightarrow \sf 818.87`