What is sqrt(3+2\sqrt{2)}+sqrt(3-2\sqrt{2)} ?

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

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simplify sqrt(3+2\sqrt{2)}+sqrt(3-2\sqrt{2)}

simplify

3 + 22 + 3 - 22

22

Decimal Notation

2.82842 \dots

Solution steps

3 + 22 + 3 - 22

3 + 22 = 2 + 1

3 - 22 = 2 - 1

= 2 + 1 + 2 - 1

Add similar elements:

2 + 2 = 22

= 22 + 1 - 1

Subtract the numbers:

1 - 1 = 0

= 22

3 \cdot 3.6 - 5 \cdot 3.3

\frac{8}{7 - 3}

\frac{1}{4} - \frac{1}{20}

4 \times 43

\frac{- 2 + 20}{2}

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