What is (sqrt(2)+1)(sqrt(2)+1) ?

The solution to (sqrt(2)+1)(sqrt(2)+1) is 3+2sqrt(2)

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simplify (sqrt(2)+1)(sqrt(2)+1)

simplify

(2 + 1) (2 + 1)

3 + 22

Decimal Notation

5.82842 \dots

Solution steps

(2 + 1) (2 + 1)

Apply exponent rule:

aa = a^{2}

(2 + 1) (2 + 1) = (2 + 1)^{2}

= (2 + 1)^{2}

Apply Perfect Square Formula:

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

(2 + 1)^{2} = (2)^{2} + 22 \cdot 1 + 1^{2}

= (2)^{2} + 22 \cdot 1 + 1^{2}

(2)^{2} + 22 \cdot 1 + 1^{2} = 3 + 22

= 3 + 22

(3 X Y) (4 X^{2} Y^{3})

32^{5}

\frac{e ^{x}}{e ^{x^{2}}}

((2^{3})^{2})^{3}

0.1 \cdot 3^{- 5}

What is (sqrt(2)+1)(sqrt(2)+1) ?
The solution to (sqrt(2)+1)(sqrt(2)+1) is 3+2sqrt(2)