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

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

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

simplify

2 (2 + 1)^{1}

2 + 2

Decimal Notation

3.41421 \dots

Solution steps

2 (2 + 1)^{1}

Apply exponent rule:

a^{1} = a

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

= 2 (2 + 1)

Apply the distributive law:

a (b + c) = ab + a c

2 (2 + 1) = 22 + 2 \cdot 1

= 22 + 2 \cdot 1

22 = 2

2 \cdot 1 = 2

= 2 + 2

(n + 4)^{3}

16 n^{2} + 22 n - 3

8 \frac{2}{8} - 3 \frac{3}{8}

\frac{7 \cdot b ^{5}}{b ^{4}}

lo g_{100} (25)

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