(5 root 3y) over (root10 + 2)
5√3 y/(√10 + 2)
what about it ?
The question says to simplify it
To simplify the expression (5√(3y))/(√10 + 2), we can rationalize the denominator.
Step 1: Multiply the numerator and the denominator by the conjugate of the denominator (√10 - 2). The conjugate of a binomial is obtained by changing the sign between the two terms.
(5√(3y))/(√10 + 2) * (√10 - 2)/(√10 - 2)
Step 2: Apply the distributive property by multiplying the numerators and denominators together.
(5√(3y) * √10 - 2 * √(3y))/(√10 * √10 - 2 * √10 + √10 * 2 - 2 * 2)
Step 3: Simplify each term.
(5√(30y) - 2√(3y))/(10 - 4)
Step 4: Simplify further.
(5√(30y) - 2√(3y))/6
So the simplified expression is (5√(30y) - 2√(3y))/6.