What is sqrt(6+3\sqrt{3)}sqrt(6-3\sqrt{3)} ?

The solution to sqrt(6+3\sqrt{3)}sqrt(6-3\sqrt{3)} is 3

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simplify sqrt(6+3\sqrt{3)}sqrt(6-3\sqrt{3)}

simplify

6 + 33 6 - 33

3

Solution steps

6 + 33 6 - 33

Apply radical rule:

a b = a \cdot b

6 + 33 6 - 33 = (6 + 33) (6 - 33)

= (6 + 33) (6 - 33)

(6 + 33) (6 - 33) = 9

= 9

Factor the number:

9 = 3^{2}

= 3^{2}

Apply radical rule:

3^{2} = 3

= 3

1.7 5^{- 1}

\frac{e ^{- x - y}}{e ^{- y}}

4 \cdot π \cdot 1 0^{- 7} \cdot 2.8

115 \cdot 1 0^{- 6} \cdot \frac{25}{0.09}

What is sqrt(6+3\sqrt{3)}sqrt(6-3\sqrt{3)} ?
The solution to sqrt(6+3\sqrt{3)}sqrt(6-3\sqrt{3)} is 3