Respuesta :

Answer:

[tex]\large\tt\sqrt{2} [/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

Explanation:

[tex]\large\tt\sqrt{ 1989 \div 1989 \times 1+1 \times 1 }[/tex]

  • Divide 1989 by 1989 to get 1

[tex]\large\tt\sqrt{1\times 1+1\times 1} [/tex]

  • Multiply 1 and 1 to get 1. Multiply 1 and 1 to get 1.

[tex]\large\tt\sqrt{1+1} [/tex]

  • And add 1 and 1 to get 2.

[tex]\large\tt\sqrt{2} [/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex] \rm \color{teal} = \sqrt{2} \\ \\ \color{teal} \tt \: in \: \: alternate \: \: form \\ \\ \rm\color{teal} \: = 1.41421[/tex]

Step-by-step explanation:

[tex] \bold \color{navy} \sqrt{1989 \div 1389 \times 1 + 1 \times 1} [/tex]

  • any expression multiplied by 1 remains the same

[tex] \rm \color{red} \sqrt{1 + 1} [/tex]

  • add numbers

[tex] \bold \color{teal} \sqrt{2} [/tex]

[tex] \rm \color{red} in \: \: alternate \: \: form \\ \\ \tt \color{pink} = 1.41421[/tex]

hope it helps