What is sqrt(3x^2+1)sqrt(3x^2-1) ?

The solution to sqrt(3x^2+1)sqrt(3x^2-1) is sqrt((3x^2+1)(3x^2-1))

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simplify sqrt(3x^2+1)sqrt(3x^2-1)

simplify

3 x^{2} + 1 3 x^{2} - 1

(3 x^{2} + 1) (3 x^{2} - 1)

Solution steps

3 x^{2} + 1 3 x^{2} - 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

3 x^{2} + 1 3 x^{2} - 1 = (3 x^{2} + 1) (3 x^{2} - 1)

= (3 x^{2} + 1) (3 x^{2} - 1)

e^{- 2 t} (4 cos (3 t) + 5 cos (3 t))

16 I n e^{\frac{1}{4}}

e v a l u t e - 100

60 e^{- 0.00041 \cdot 100}

- e^{- 1} (2)

What is sqrt(3x^2+1)sqrt(3x^2-1) ?
The solution to sqrt(3x^2+1)sqrt(3x^2-1) is sqrt((3x^2+1)(3x^2-1))