What is (a^2+1)/((2+sqrt(3))) ?

The solution to (a^2+1)/((2+sqrt(3))) is (2-sqrt(3))(a^2+1)

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simplify (a^2+1)/((2+sqrt(3)))

simplify

\frac{a ^{2} + 1}{( 2 + 3 )}

(2 - 3) (a^{2} + 1)

Solution steps

\frac{a ^{2} + 1}{2 + 3}

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

= \frac{( a ^{2} + 1 ) ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

(2 + 3) (2 - 3) = 1

= \frac{( 2 - 3 ) ( a ^{2} + 1 )}{1}

Apply rule

\frac{a}{1} = a

= (2 - 3) (a^{2} + 1)

\frac{lo g _{10} ( n ^{3} )}{lo g _{10} ( n )}

3 b - 2 b + b

3 a + 5 b - 7 a + 11 b + 8 a - 14 b

(2 y + 1)^{3}

y^{5} - 4 y^{3} + 3 y

What is (a^2+1)/((2+sqrt(3))) ?
The solution to (a^2+1)/((2+sqrt(3))) is (2-sqrt(3))(a^2+1)