What is sqrt(8)\times sqrt(50)\times sqrt(18) ?

The solution to sqrt(8)\times sqrt(50)\times sqrt(18) is 60sqrt(2)

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simplify sqrt(8)\times sqrt(50)\times sqrt(18)

simplify

8 \cdot 50 \cdot 18

602

Decimal Notation

84.85281 \dots

Solution steps

85018

5018 = 900

= 8900

900 = 30

= 8 \cdot 30

Prime factorization of

8 : 2^{3}

= 2^{3} \cdot 30

Apply exponent rule:

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

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

= 2^{2} \cdot 2 \cdot 30

Apply radical rule:

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

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

= 2^{2} 2 \cdot 30

Apply radical rule:

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

2^{2} = 2

= 22 \cdot 30

Multiply the numbers:

2 \cdot 30 = 60

= 602

18 \div \frac{1}{2}

s^{- 1}

x^{3} y 25 x^{7} y^{3}

\frac{7}{3} \div 3

\frac{4}{x} + \frac{6}{7 x}

What is sqrt(8)\times sqrt(50)\times sqrt(18) ?
The solution to sqrt(8)\times sqrt(50)\times sqrt(18) is 60sqrt(2)