What is the answer to ((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3) ?

The answer to ((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3) is a=11

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((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3)

\frac{( 5 + 2 3 )}{( 7 + 4 3 )} = a - 63

a = 11

Solution steps

\frac{( 5 + 2 3 )}{( 7 + 4 3 )} = a - 63

Switch sides

a - 63 = \frac{( 5 + 2 3 )}{( 7 + 4 3 )}

a - 63 = \frac{5 + 2 3}{7 + 4 3}

Move

63

to the right side

a = 11 - 63 + 63

Simplify

a = 11

1.5 (3) x = x + 1 (6)

2 [3 (x + 2) - x] = 4

0 x + 0 y = 0

\frac{x}{5} = \frac{21}{2}

[h] = 1 \cdot 1 0^{3}

What is the answer to ((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3) ?
The answer to ((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3) is a=11
Solve for a: ((5+2sqrt(3)))/((7+4sqrt(3)))=a-6sqrt(3)
The solution is a=11