What is (2sqrt(108))(sqrt(144)) ?

The solution to (2sqrt(108))(sqrt(144)) is 144sqrt(3)

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simplify (2sqrt(108))(sqrt(144))

simplify

(2108) (144)

1443

Decimal Notation

249.41531 \dots

Solution steps

(2108) (144)

Apply rule:

(a) = a

(144) = 144

= 2108144

144 = 12

= 2108 \cdot 12

Prime factorization of

108 : 2^{2} \cdot 3^{3}

= 2 2^{2} \cdot 3^{3} \cdot 12

Apply exponent rule:

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

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

= 2 2^{2} \cdot 3^{2} \cdot 3 \cdot 12

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

= 2 2^{2} 3^{2} 3 \cdot 12

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 2 3^{2} 3 \cdot 12

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 2 \cdot 33 \cdot 12

Multiply the numbers:

2 \cdot 3 = 6

= 2 \cdot 63 \cdot 12

Multiply the numbers:

2 \cdot 6 \cdot 12 = 144

= 1443

(x + 1)^{2} - x^{2}

343 p^{3} + 196 p^{2} + 196 p + 112

1 0^{3 l o g_{10} (2)}

\frac{5 + 3 i}{1 - 2 i}

7 + \frac{3}{7}

What is (2sqrt(108))(sqrt(144)) ?
The solution to (2sqrt(108))(sqrt(144)) is 144sqrt(3)