What is sqrt(7+\sqrt{13)}*sqrt(7-\sqrt{13)} ?

The solution to sqrt(7+\sqrt{13)}*sqrt(7-\sqrt{13)} is 6

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simplify sqrt(7+\sqrt{13)}*sqrt(7-\sqrt{13)}

simplify

7 + 13 \cdot 7 - 13

6

Solution steps

7 + 13 7 - 13

Apply radical rule:

a b = a \cdot b

7 + 13 7 - 13 = (7 + 13) (7 - 13)

= (7 + 13) (7 - 13)

(7 + 13) (7 - 13) = 36

= 36

Factor the number:

36 = 6^{2}

= 6^{2}

Apply radical rule:

6^{2} = 6

= 6

2.1 \cdot 1 0^{- 10}

e^{\frac{x}{2}} e^{\frac{x}{2}}

2.5 x 1 0^{- 5}

t^{2} e^{2} sin (3 t)

\frac{3 - x}{x ^{2} - 4}

What is sqrt(7+\sqrt{13)}*sqrt(7-\sqrt{13)} ?
The solution to sqrt(7+\sqrt{13)}*sqrt(7-\sqrt{13)} is 6