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

The solution to (2sqrt(2)+3)^2 is 17+12sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

(22 + 3)^{2}

17 + 122

Decimal Notation

33.97056 \dots

Solution steps

(22 + 3)^{2}

Apply Perfect Square Formula:

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

(22 + 3)^{2} = (22)^{2} + 2 \cdot 22 \cdot 3 + 3^{2}

= (22)^{2} + 2 \cdot 22 \cdot 3 + 3^{2}

(22)^{2} + 2 \cdot 22 \cdot 3 + 3^{2} = 17 + 122

= 17 + 122

(7.4 \cdot 0.008 + 7.4) \cdot 30500 + 16500

1 + 3.322 lo g_{10} (100)

8^{2} + 1 2^{2}

16 m^{2} n + 24 mn - 40 m n^{2}

\frac{x ^{3} - 8}{x ^{2} + 2 x + 4}