What is sqrt(9+4\sqrt{5)}sqrt(9-4\sqrt{5)} ?

The solution to sqrt(9+4\sqrt{5)}sqrt(9-4\sqrt{5)} is 1

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simplify sqrt(9+4\sqrt{5)}sqrt(9-4\sqrt{5)}

simplify

9 + 45 9 - 45

1

Solution steps

9 + 45 9 - 45

9 + 45 = 5 + 2

= (5 + 2) 9 - 45

9 - 45 = 5 - 2

= (5 + 2) (5 - 2)

Apply Difference of Two Squares

(5 + 2) (5 - 2) : 1

= 1

3 - 24 \times 2 - 18

4 x + 8 x

2 a^{4} - 54 a

\frac{1}{8} - \frac{4}{6} + \frac{7}{12}

What is sqrt(9+4\sqrt{5)}sqrt(9-4\sqrt{5)} ?
The solution to sqrt(9+4\sqrt{5)}sqrt(9-4\sqrt{5)} is 1