simplify sqrt(792)

Solution

simplify

792

622

Decimal Notation

28.14249 \dots

Solution steps

792

Prime factorization of

792 : 2^{3} \cdot 3^{2} \cdot 11

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 11

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 11

Multiply the numbers:

2 \cdot 3 = 6

= 6 2 \cdot 11

Multiply the numbers:

2 \cdot 11 = 22

= 622

\frac{5 x ^{3} - 9 x + 4}{x ^{2} - 3 x + 2}

8.9

2 \cdot \frac{8}{5}

\frac{2 x ^{2} - 32}{3 x ^{2} + 14 x + 8}

5.25