What is sqrt(5-\sqrt{3)}\times sqrt(5+\sqrt{3)} ?

The solution to sqrt(5-\sqrt{3)}\times sqrt(5+\sqrt{3)} is square root of 22

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simplify sqrt(5-\sqrt{3)}\times sqrt(5+\sqrt{3)}

simplify

5 - 3 \cdot 5 + 3

22

Decimal Notation

4.69041 \dots

Solution steps

5 - 3 5 + 3

Apply radical rule:

a b = a \cdot b

5 - 3 5 + 3 = (5 - 3) (5 + 3)

= (5 - 3) (5 + 3)

(5 - 3) (5 + 3) = 22

= 22

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What is sqrt(5-\sqrt{3)}\times sqrt(5+\sqrt{3)} ?
The solution to sqrt(5-\sqrt{3)}\times sqrt(5+\sqrt{3)} is square root of 22