Answered

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Solve this because I'm horrible at maths
[tex] \sqrt{1989 \times 1989 + 1989 \times 1989} + 13 - 2007[/tex]
​

Sagot :

fieryanswererft

Answer:

818.87

explanation:

[tex]\hookrightarrow \sf \sqrt{1989\cdot 1989+1989\cdot 1989}+13-2007[/tex]

[tex]\hookrightarrow \sf \sqrt{1989\cdot \:1989+1989\cdot \:1989}-1994[/tex]

[tex]\hookrightarrow \sf 1989\sqrt{2}-1994[/tex]

[tex]\hookrightarrow \sf 818.8707756[/tex]

[tex]\hookrightarrow \sf 818.87[/tex]

[tex] \tt \sqrt{1989 \times 1989 + 1989 \times 1989} + 13 - 2007[/tex]

  • Write the repeated multiplication in exponential form

[tex] \tt \sqrt{ {1989}^{2} + {1989}^{2} } + 13 - 2007[/tex]

  • Collect like terms

[tex] \tt \sqrt{2 \times {1989}^{2} } + 13 - 2007[/tex]

Simplify the radical expression

[tex] \tt1989 \sqrt{2} + 13 - 2007[/tex]

Calculate the difference

[tex] \tt1989 \sqrt{2} - 1994[/tex]

Calculate the approx value

[tex] \tt \approx818.87[/tex]

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