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 \cdot 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

3^{x + 1}

e^{- l n (- 1)}

[((- 12)^{4})^{- 3}]^{5}

e^{2 x} \cdot 3 e^{3 x} \cdot e^{x}

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