Question

solve (1+root3)-(4+root3)​

Answer 1

Answer:

$\left(1+\sqrt{3}\right)-\left(4+\sqrt{3}\right)=-3$

Step-by-step explanation:

$\left(1+\sqrt{3}\right)-\left(4+\sqrt{3}\right)$

$\gray{\mathrm{Remove\:parentheses}:\quad \left(a\right)=a}$

$=1+\sqrt{3}-\left(4+\sqrt{3}\right)$

$\black{-\left(4+\sqrt{3}\right):}$

$-\left(4+\sqrt{3}\right)$

$\gray{\mathrm{Distribute\:parentheses}}$

$=-\left(4\right)-\left(\sqrt{3}\right)$

$\gray{\mathrm{Apply\:minus-plus\:rules}}$

$\gray{+\left(-a\right)=-a}$

$=-4-\sqrt{3}$

$=1+\sqrt{3}-4-\sqrt{3}$

$\black{\mathrm{Simplify}\:1+\sqrt{3}-4-\sqrt{3}:}$

$1+\sqrt{3}-4-\sqrt{3}$

$\gray{\mathrm{Add\:similar\:elements:}\:\sqrt{3}-\sqrt{3}=0}$

$=1-4$

$\gray{\mathrm{Subtract\:the\:numbers:}\:1-4=-3}$

$=-3$

Answer 2

Answer:

Step-by-step explanation:

Here is the answer:

(1+√3)-(4+√3)

=1+√3-4-√3 ( the minus converts

plus to minus after

opening of bracket)

=1-4 +√3-√3( Rearranging)

=-3+0

= -3

This is the answer