What is expand (5+3sqrt(2))^2 ?

The solution to expand (5+3sqrt(2))^2 is 43+30sqrt(2)

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expand (5+3sqrt(2))^2

expand

(5 + 32)^{2}

43 + 302

Decimal Notation

85.42640 \dots

Solution steps

(5 + 32)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(5 + 32)^{2} = 5^{2} + 2 \cdot 5 \cdot 32 + (32)^{2}

= 5^{2} + 2 \cdot 5 \cdot 32 + (32)^{2}

5^{2} + 2 \cdot 5 \cdot 32 + (32)^{2} = 43 + 302

= 43 + 302

(e^{y} - 1)^{2}

16 (\frac{1}{4} + \frac{7}{x ^{16}})

\frac{- 3 x ^{2} - 2 y}{2 ( x - 3 y )}

- \frac{d}{d z} (\frac{( z - 0.25 ) ( z - 0.75 )}{( z + 0.5 )})

\frac{x ^{2} + x}{( x - 1 ) ( x ^{2} + 1 )}

What is expand (5+3sqrt(2))^2 ?
The solution to expand (5+3sqrt(2))^2 is 43+30sqrt(2)