What is √1280 ÷ √555 + 800?

Answer 1

sqrt( 1280/555) + 800 = <---- sqrt property: square root of fraction equal sqrt of den/ sqrt(num)

sqrt( 256/111) + 800 = <---- reduces by 5

sqrt( 2^8 / 3*37) + 800 = <--- prime factors: cannot be reduced any more

2^4 / sqrt(111) + 800 = ,<---- sqrt(256) = 16

16*sqrt(111)/111 + 800 <--- rationalizes the denominator

[16*sqrt(111)]+ 88800 / 800 <----- common denominator