What is sqrt(200-\sqrt{32)} ?

The solution to sqrt(200-\sqrt{32)} is 2sqrt(50-\sqrt{2)}

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simplify sqrt(200-\sqrt{32)}

simplify

200 - 32

2 50 - 2

Decimal Notation

13.94070 \dots

Solution steps

200 - 32

32 = 42

= 200 - 42

Factor out common term

4 : 4 (50 - 2)

= 4 (50 - 2)

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

4 (50 - 2) = 4 50 - 2

= 4 50 - 2

4 = 2

= 2 50 - 2

- \frac{5}{2} - 4

- 6^{- 4}

a^{2} - 400

\frac{0}{- 10}

\frac{7}{22} + (- \frac{1}{22})

What is sqrt(200-\sqrt{32)} ?
The solution to sqrt(200-\sqrt{32)} is 2sqrt(50-\sqrt{2)}