What is (sqrt(6+4\sqrt{2)})(sqrt(6-4\sqrt{2)}) ?

The solution to (sqrt(6+4\sqrt{2)})(sqrt(6-4\sqrt{2)}) is 2

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simplify (sqrt(6+4\sqrt{2)})(sqrt(6-4\sqrt{2)})

simplify

(6 + 42) (6 - 42)

2

Solution steps

(6 + 42) (6 - 42)

(6 + 42) (6 - 42) = 6 + 42 6 - 42

= 6 + 42 6 - 42

6 + 42 = 2 + 2

= (2 + 2) 6 - 42

6 - 42 = 2 - 2

= (2 + 2) (2 - 2)

Apply Difference of Two Squares

(2 + 2) (2 - 2) : 2

= 2

1.72 \cdot 1 0^{- 8}

\frac{1}{2 π} e^{- 0.5 (- 2)^{2}}

2 2^{\frac{1}{3}}

20 e^{- 0.2 (5)}

e^{z} e^{z}

What is (sqrt(6+4\sqrt{2)})(sqrt(6-4\sqrt{2)}) ?
The solution to (sqrt(6+4\sqrt{2)})(sqrt(6-4\sqrt{2)}) is 2