Question

Calcule
a) √√6-√2•√√6+√2
b) √8+√15•√8-√15
c) ³√√12+2•³√√12-2
d) √2•√√10-√2•√√10+√2

Answer 1

Os resultados são: a) 0,7659 b) 9,9098 c) e d) 1,4142.

a) √√6-√2•√√6+√2

6^1/4 - 2^1/2 . 6^1/4 + 2^1/2

1,5651 - 1,4142 . 1,5651 + 1,4142

1,5651 - 2,2134 + 1,4142

0,7659

b) √8+√15•√8-√15

8^1/2 + 15^1/2 . 8^1/2 - 15^1/2

2,8284 + 3,8730 . 2,8284 - 3,8730

2,8284 + 10,9544 - 3,8730

9,9098

c) ³√√12+2•³√√12-2

12^1/6 + 2 . 12^1/6 - 2

1,5131 + 2 . 1,5131 - 2

1,5131 + 3,0262 - 2

2,5393

d)√2•√√10-√2•√√10+√2

2^1/2 . 10^1/4 - 2^1/2 . 10^1/4 + 2^1/2

1,4142 . 1,7783 - 1,4142 . 1,7783 + 1,4142

2,5149 - 2,5149 + 1,4142

1,4142

Bons estudos!