What is (((sqrt(3)+2)a)/(sqrt(3)))^2 ?

The solution to (((sqrt(3)+2)a)/(sqrt(3)))^2 is ((7+4sqrt(3))a^2)/3

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simplify (((sqrt(3)+2)a)/(sqrt(3)))^2

simplify

(\frac{( 3 + 2 ) a}{3})^{2}

\frac{( 7 + 4 3 ) a ^{2}}{3}

Solution steps

(\frac{( 3 + 2 ) a}{3})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( ( 3 + 2 ) a ) ^{2}}{( 3 ) ^{2}}

Simplify

((3 + 2) a)^{2} : (7 + 43) a^{2}

= \frac{( 7 + 4 3 ) a ^{2}}{( 3 ) ^{2}}

(3)^{2} = 3

= \frac{( 7 + 4 3 ) a ^{2}}{3}

(1 + a)^{2} (1 + b^{2}) - (1 + b)^{2} (1 + a^{2})

(\frac{1}{2})^{- 2 t}

\frac{5}{x ^{2}} - x - 12 + \frac{3}{x ^{2}} - 16

3 x y + 11 x^{3} y

\frac{( x ^{a + b + 1} \cdot x ^{a - b + 2} )}{( x ^{2 a + 3} )}

What is (((sqrt(3)+2)a)/(sqrt(3)))^2 ?
The solution to (((sqrt(3)+2)a)/(sqrt(3)))^2 is ((7+4sqrt(3))a^2)/3