What is 1/(2-sqrt(3))*1/(2+sqrt(3)) ?

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

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simplify 1/(2-sqrt(3))*1/(2+sqrt(3))

simplify

\frac{1}{2 - 3} \cdot \frac{1}{2 + 3}

1

Solution steps

\frac{1}{2 - 3} \cdot \frac{1}{2 + 3}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Cancel

\frac{1 \cdot 1}{( 2 - 3 ) ( 2 + 3 )} : 1

= 1

(0.08)^{2}

\frac{69.41 - 55}{8.1}

(x - 3)^{2} = 11

\frac{x ^{2} - 3 x - 4}{x - 3} \geq 0

2 x^{2} + 8 x + 8

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