What is sqrt(8)+sqrt(3) ?

The solution to sqrt(8)+sqrt(3) is 2sqrt(2)+sqrt(3)

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simplify sqrt(8)+sqrt(3)

simplify

8 + 3

22 + 3

Decimal Notation

4.56047 \dots

Solution steps

8 + 3

Prime factorization of

8 : 2^{3}

= 2^{3} + 3

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} = 2^{2} \cdot 2

= 2^{2} \cdot 2 + 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= 2^{2} 2 + 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 22 + 3

(4 - 5 i) (12 + 11 i)

4 \frac{5}{10}

(- 6 + i) + (i^{2} - 2 i)

\frac{4}{5} \div 10

4 \cdot 4 \cdot 6