What is 5sqrt(8)*3sqrt(4) ?

The solution to 5sqrt(8)*3sqrt(4) is 60sqrt(2)

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simplify 5sqrt(8)*3sqrt(4)

simplify

58 \cdot 34

602

Decimal

84.85281 \dots

Solution steps

58 \cdot 34

4 = 2

= 58 \cdot 3 \cdot 2

Prime factorization of

8 : 2^{3}

= 5 2^{3} \cdot 3 \cdot 2

Apply exponent rule:

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

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

= 5 2^{2} \cdot 2 \cdot 3 \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 \cdot 3 \cdot 2

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 22 \cdot 3 \cdot 2

Multiply the numbers:

5 \cdot 2 \cdot 3 \cdot 2 = 60

= 602

6 4^{l o g_{8} (3)}

4 \times 2 \frac{5}{12}

(r - 2)^{2}

(7 - 33)^{2}

\frac{x + y}{x + y}