Question

Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!

Answer 1

To determine the value of p in simplest radical form, solve the equation by simplifying the denominator and taking the square root of both sides. The value of p is 2.

Step-by-step explanation:

To identify the value of p, we need to solve the equation and simplify it to the simplest radical form. Let's start by simplifying the denominator and expressing it as a perfect square.

Next, we can take the square root of both sides of the equation to eliminate the square. This will help us isolate p. Once we do that, we can solve for p by getting rid of the square root on the left side of the equation. After simplifying, we find that p = 2.

So, the value of p is 2.

Answer 2

C

Step-by-step explanation:

using the cosine ratio to find p

cos 45° =
`(adjacent)/(hypotenuse)` =
`(6)/(p)`

cross- multiplying gives

p × cos45° = 6 → [ cos 45° =
`(1)/(√(2) )`]

p ×
`(1)/(√(2) )` = 6

multiply both sides by
`√(2)`

⇒ p = 6
`√(2)` ( third option on list )