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Popular >

simplify sqrt(999)

Solution

simplify

999

Solution

3111

+1

Decimal Notation

31.60696 \dots

Solution steps

999

Prime factorization of

999 : 3^{3} \cdot 37

= 3^{3} \cdot 37

Apply exponent rule:

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

3^{3} \cdot 37 = 3^{2} \cdot 3 \cdot 37

= 3^{2} \cdot 3 \cdot 37

Apply radical rule:

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

3^{2} \cdot 3 \cdot 37 = 3^{2} 3 \cdot 37

= 3^{2} 3 \cdot 37

Apply radical rule:

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

3^{2} = 3

= 3 3 \cdot 37

Multiply the numbers:

3 \cdot 37 = 111

= 3111

Popular Examples

1/3 x^2+1/21 x-1=0

\frac{1}{3} x^{2} + \frac{1}{21} x - 1 = 0

simplify 1/6-5/7 simplify

\frac{1}{6} - \frac{5}{7}

simplify sqrt(380)simplify

380

factor 18x^2-24x+8 factor

18 x^{2} - 24 x + 8

4 x - 2 x^{2} = - \frac{8}{3}

Frequently Asked Questions (FAQ)

What is sqrt(999) ?
The solution to sqrt(999) is 3sqrt(111)