(1-2)^ 6 = - Vidyadip

MCQ

$(1-\sqrt{2})^{6}=$

A
$98-70\sqrt{2}$
B
$99-70\sqrt{2}$
C
$99+70\sqrt{2}$
D
$98+70\sqrt{2}$

✓

Answer

$99-70\sqrt{2}$

Solution:

$(1-\sqrt{2})^{6}$

$=((1-\sqrt{2})^{2})^{3}$

$=(1+2-2\sqrt{2})^{3}$

$=(3-2\sqrt{2})^{3}$

$=27-16\sqrt{2}-54\sqrt{2}+72$

$=99-70\sqrt{2}.$

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