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

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

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Popular >

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

simplify

(1 + 2) (1 + 2)

3 + 22

Decimal

5.82842 \dots

Solution steps

(1 + 2) (1 + 2)

Apply exponent rule:

aa = a^{2}

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

= (1 + 2)^{2}

Apply Perfect Square Formula:

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

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

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

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

= 3 + 22

x^{\frac{3}{2}} x

(1 - x)^{- \frac{1}{7}}

\frac{- 45}{9}

32^{2}

3.471 \times 1 0^{- 5}

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