(1-2)^ 6 = - Vidyadip

MCQ

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

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

✓

Answer

Correct option: B.

$99-70\sqrt{2}$

$(1-\sqrt{2})^{6}$
$=((1-\sqrt{2})^{2})^{3}$
$=(1+2-2\sqrt{2})^{3}$
$=(3-2\sqrt{2})^{3}$
$=27-16\sqrt{2}-54\sqrt{2}+72$
$=99-70\sqrt{2}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from BINOMIAL THEOREM→BINOMIAL THEOREM — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $B$ be the centre of the circle $x^{2}+y^{2}-2 x+4 y+1=0$ Let the tangents at two points $\mathrm{P}$ and $\mathrm{Q}$ on the circle intersect at the point $\mathrm{A}(3,1)$. Then $8.$ $\left(\frac{\text { area } \triangle \mathrm{APQ}}{\text { area } \triangle \mathrm{BPQ}}\right)$ is equal to .... .

Given; A circle $2{x^2} + 2{y^2} = 5$ and parabola ${y^2} = 4\sqrt 5 x$

Statement $-1$:An equation of a common tangent to these curve is $y = x + \sqrt 5 $

Statement $-2$: If the line, $y = mx + \frac{{\sqrt 5 }}{m}\left( {m \ne 0} \right)$ is their common tangent , then $m$ satisfies ${m^4} - 3{m^2} + 2 = 0$.

If ${\log _5}2,\,{\log _5}({2^x} - 3)$ and ${\log _5}(\frac{{17}}{2} + {2^{x - 1}})$ are in $A.P.$ then the value of $x$ is :-

Let $X$ be a set containing $n$ elements. If two subsets $A$ and $B$ of $X$ are picked at random, the probability that $A$ and $B$ have the same number of elements, is

Which of the following is true?

The $n^{th}$ term of the series $\frac{2}{{1!}} + \frac{7}{{2\,!}} + \frac{{15}}{{3\,!}} + \frac{{26}}{{4\,!}} + .....$ is

$\mathop {\lim }\limits_{x \to 0} \frac{{1 - \cos mx}}{{1 - \cos nx}} = $

If the equation $\cos ^{4} \theta+\sin ^{4} \theta+\lambda=0$ has real solutions for $\theta,$ then $\lambda$ lies in the interval

A library has $a$ copies of one book, $b$ copies of each of two books, $c$ copies of each of three books and single copies of $d$ books. The total number of ways in which these books can be distributed is

The value of $ (126)^{\frac{1}{3}}$ up to three decimal places is: