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Popular >

simplify 9sqrt(99)

Solution

simplify

999

Solution

2711

+1

Decimal Notation

89.54886 \dots

Solution steps

999

Prime factorization of

99 : 3^{2} \cdot 11

= 9 3^{2} \cdot 11

Apply radical rule:

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

3^{2} \cdot 11 = 3^{2} 11

= 9 3^{2} 11

Apply radical rule:

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

3^{2} = 3

= 9 \cdot 311

Multiply the numbers:

9 \cdot 3 = 27

= 2711

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Frequently Asked Questions (FAQ)

What is 9sqrt(99) ?
The solution to 9sqrt(99) is 27sqrt(11)