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

1.2175 \cdot 1 0^{- 6}

x 2 x

4 + x \cdot 1 + x

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