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Popular >

simplify 10sqrt(27)

Solution

simplify

1027

Solution

303

+1

Decimal Notation

51.96152 \dots

Solution steps

1027

Prime factorization of

27 : 3^{3}

= 10 3^{3}

Apply exponent rule:

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

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

= 10 3^{2} \cdot 3

Apply radical rule:

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

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

= 10 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 10 \cdot 33

Multiply the numbers:

10 \cdot 3 = 30

= 303

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5 ∣ w + 4 ∣ - 82 = - 7

Frequently Asked Questions (FAQ)

What is 10sqrt(27) ?
The solution to 10sqrt(27) is 30sqrt(3)