What is sqrt(8)+5sqrt(8) ?

The solution to sqrt(8)+5sqrt(8) is 12sqrt(2)

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simplify sqrt(8)+5sqrt(8)

simplify

8 + 58

122

Decimal Notation

16.97056 \dots

Solution steps

8 + 58

Add similar elements:

8 + 58 = 68

= 68

Prime factorization of

8 : 2^{3}

= 6 2^{3}

Apply exponent rule:

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

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

= 6 2^{2} \cdot 2

Apply radical rule:

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

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

= 6 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 22

Multiply the numbers:

6 \cdot 2 = 12

= 122

(- 30)^{2}

(\frac{4}{3} \cdot 0.5)^{3}

ln (\frac{2}{2})

(x^{4})^{6}

2 \cdot 1 0^{8}