What is 4sqrt(4-2\sqrt{3)}+sqrt(97-56\sqrt{3)} ?

The solution to 4sqrt(4-2\sqrt{3)}+sqrt(97-56\sqrt{3)} is 3

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simplify 4sqrt(4-2\sqrt{3)}+sqrt(97-56\sqrt{3)}

simplify

4 4 - 23 + 97 - 563

3

Solution steps

4 4 - 23 + 97 - 563

4 - 23 = 3 - 1

97 - 563 = 7 - 43

= 4 (3 - 1) + 7 - 43

Expand

4 (3 - 1) : 43 - 4

= 43 - 4 + 7 - 43

Add similar elements:

43 - 43 = 0

= - 4 + 7

Add the numbers:

- 4 + 7 = 3

= 3

lo g_{1} (7)

\frac{10 - 18}{2}

35 \times 6

\frac{1}{sin ( x )} \cdot \frac{1}{cos ( x )}

x \cdot (- 1)

What is 4sqrt(4-2\sqrt{3)}+sqrt(97-56\sqrt{3)} ?
The solution to 4sqrt(4-2\sqrt{3)}+sqrt(97-56\sqrt{3)} is 3