What is sqrt(\sqrt{13)+2}*sqrt(\sqrt{13)-2} ?

The solution to sqrt(\sqrt{13)+2}*sqrt(\sqrt{13)-2} is 3

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simplify sqrt(\sqrt{13)+2}*sqrt(\sqrt{13)-2}

simplify

13 + 2 \cdot 13 - 2

3

Solution steps

13 + 2 13 - 2

Apply radical rule:

a b = a \cdot b

2 + 13 13 - 2 = (2 + 13) (13 - 2)

= (2 + 13) (13 - 2)

(13 + 2) (13 - 2) = 9

= 9

Factor the number:

9 = 3^{2}

= 3^{2}

Apply radical rule:

3^{2} = 3

= 3

7 x

(9 \cdot 1 0^{9}) (\frac{( 1.6 \cdot 1 0 ^{- 19} ) ^{2}}{0.0 9 ^{2}})

30.026 (2329 \cdot 1 0^{- 4})

e^{- \frac{69}{228}}

\frac{1}{2} (0.15) (7.6 \cdot 1 0^{- 3})

What is sqrt(\sqrt{13)+2}*sqrt(\sqrt{13)-2} ?
The solution to sqrt(\sqrt{13)+2}*sqrt(\sqrt{13)-2} is 3