What is rationalize (2+sqrt(3))/(2-sqrt(3)) ?

The solution to rationalize (2+sqrt(3))/(2-sqrt(3)) is 7+4sqrt(3)

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rationalize (2+sqrt(3))/(2-sqrt(3))

rationalize

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

7 + 43

Decimal Notation

13.92820 \dots

Solution steps

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

Multiply by the conjugate

\frac{2 + 3}{2 + 3}

= \frac{( 2 + 3 ) ( 2 + 3 )}{( 2 - 3 ) ( 2 + 3 )}

(2 + 3) (2 + 3) = 7 + 43

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

= \frac{7 + 4 3}{1}

Apply rule

\frac{a}{1} = a

= 7 + 43

i^{126}

lo g_{4} (625)

\frac{25}{11}

6 m^{2} + m - 15

What is rationalize (2+sqrt(3))/(2-sqrt(3)) ?
The solution to rationalize (2+sqrt(3))/(2-sqrt(3)) is 7+4sqrt(3)