## anonymous 3 years ago Find the square root of (999993)(999991)(999989)(999987)+16.

1. anonymous

have you tried a device called "calculator"? unless you're interested to learn how to solve that manually

2. anonymous

yes, there is.....

3. anonymous

well then, the first step is to solve (999993)(999991) manually

4. anonymous

Write 1mm as x then (x-7)(x-9)(x-11)(x-13)+16 is (x^2-20x+95)^2

5. anonymous

well, that's right....

6. anonymous

999980000095

7. anonymous

If we let y = 999990, the expression boils down to $\sqrt{(y+3)(y+1)(y-1)(y-3) +16}$$=\sqrt{(y^2-1)(y ^{2}-9)+16}$$=\sqrt{y^4 - 10y^2+9+16}$$=\sqrt{y^4-10y^2+25}$$=y^2-5$then,$=(999990)^{2}-5=988880000100-5=988880000095$