What is sqrt(7+4\sqrt{3)}-sqrt(7-4\sqrt{3)} ?

The solution to sqrt(7+4\sqrt{3)}-sqrt(7-4\sqrt{3)} is 2sqrt(3)

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Popular >

simplify sqrt(7+4\sqrt{3)}-sqrt(7-4\sqrt{3)}

simplify

7 + 43 - 7 - 43

23

Decimal Notation

3.46410 \dots

Solution steps

7 + 43 - 7 - 43

7 + 43 = 3 + 2

7 - 43 = 2 - 3

= 3 + 2 - (2 - 3)

Expand

- (2 - 3) : - 2 + 3

= 3 + 2 - 2 + 3

Add similar elements:

3 + 3 = 23

= 23 + 2 - 2

Subtract the numbers:

2 - 2 = 0

= 23

0.36

(- 2 e^{- 2 x})^{2}

\frac{( y ^{3} ) ( y ^{8} )}{( y ^{1} ) ( y - 3 )}

\frac{18}{5}

\frac{1}{16} \div \frac{1}{4}

What is sqrt(7+4\sqrt{3)}-sqrt(7-4\sqrt{3)} ?
The solution to sqrt(7+4\sqrt{3)}-sqrt(7-4\sqrt{3)} is 2sqrt(3)