What is 2sqrt(8)+3sqrt(8) ?

The solution to 2sqrt(8)+3sqrt(8) is 10sqrt(2)

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simplify 2sqrt(8)+3sqrt(8)

simplify

28 + 38

102

Decimal Notation

14.14213 \dots

Solution steps

28 + 38

Add similar elements:

28 + 38 = 58

= 58

Prime factorization of

8 : 2^{3}

= 5 2^{3}

Apply exponent rule:

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

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

= 5 2^{2} \cdot 2

Apply radical rule:

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

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

= 5 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 22

Multiply the numbers:

5 \cdot 2 = 10

= 102

\frac{30}{60}

\frac{9 k ^{- 9}}{3 k \cdot k}

- 3 \times (- \frac{1}{3})

- 3 \times (- \frac{1}{2})

\frac{8}{5} \div 2