To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{9}} \)
\( \frac{\sqrt{4}}{\sqrt{9}} \)
\( \frac{\sqrt{2^2}}{\sqrt{3^2}} \)
\(\frac{2}{3}\)

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

You have 18 out of the total of 450 raffle tickets sold so you have a (\( \frac{18}{450} \)) x 100 = \( \frac{18 \times 100}{450} \) = \( \frac{1800}{450} \) = 4% chance to win the raffle.

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{3} \) x 5\( \sqrt{2} \)
(7 x 5)\( \sqrt{3 \times 2} \)
35\( \sqrt{6} \)

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-5b^5}{3b^4} \)
\( \frac{-5}{3} \) b^{(5 - 4)}
-1\(\frac{2}{3}\)b