simplify sqrt(2268)

Solution

simplify

2268

187

Solution steps

2268

Prime factorization of

2268 : 2^{2} \cdot 3^{4} \cdot 7

= 2^{2} \cdot 3^{4} \cdot 7

2^{2} \cdot 3^{4} \cdot 7 = 2^{2} 3^{4} 7

= 2^{2} 3^{4} 7

Apply radical rule:

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

2^{2} = 2

= 2 3^{4} 7

3^{4} = 9

= 2 \cdot 97

Multiply the numbers:

2 \cdot 9 = 18

= 187

\frac{3 y ^{2} - 2 y + 5}{4} - \frac{7}{6}

sin^{2} (x) - sin^{2} (x) cos^{2} (x)

a^{2} + ab - 2 b^{2}

- 4 x^{2} - 16 x + 20