## Jnlucero Find the square root of (999993)(999991)(999989)(999987)+16. one year ago one year ago

1. lgbasallote

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

2. Jnlucero

yes, there is.....

3. lgbasallote

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

4. estudier

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

5. Jnlucero

well, that's right....

6. HerbvanH

999980000095

7. Jnlucero

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$