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Popular >

simplify 2sqrt(54)

Solution

simplify

254

Solution

66

+1

Decimal Notation

14.69693 \dots

Solution steps

254

Prime factorization of

54 : 2 \cdot 3^{3}

= 2 2 \cdot 3^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 2 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 66

Popular Examples

3 x^{2} - 24 x = - 48

sqrt(x+2)<= x+1

x + 2 \leq x + 1

ln (x) = 5

(x + 4) (x - 5) \geq 0

2 x^{2} - 5 x < 12

Frequently Asked Questions (FAQ)

What is 2sqrt(54) ?
The solution to 2sqrt(54) is 6sqrt(6)