Question

simplify: sqrt(200) - sqrt(32)

Answer 1

200 = 100*2
32 = 16*2

can you simplify now?

Answer 2

200 and 32 ?

Answer 3

i factored the radicands so you can simplify easier....

Answer 4

\(\Large \color{MidnightBlue}{\Rightarrow \sqrt{200} = \sqrt{2 * 2 * 2 * 5 * 2 * 2 * 5} }\)

\(\Large \color{MidnightBlue}{\Rightarrow \sqrt{200} = 20\sqrt{2} }\)

AND

\(\Large \color{MidnightBlue}{\Rightarrow \sqrt{32} = \sqrt{2 * 2 * 2 * 2 * 2} }\)
\(\Large \color{MidnightBlue}{\Rightarrow \sqrt{32} = 2\sqrt{2} }\)

Imagine sqrt2 as a. What will be 20a - 2a?