Question

Can’t find an answer anywhere pls help <3

Answer 1

Explanation:

Consider the expression below:

`(10 - √(18) )/( √(2) )`

Note that there is a radical in the denominator so we need to eliminate it by multiplying and dividing it with the same radical:

`(10 - √(18) )/( √(2) ) * ( √(2) )/( √(2) ) = (10 √(2) \: - \: 6)/(2) = - 3 + 5 √(2)`

By inspection, we can see that

a = -3 and b = 5

Answer 2

`a = - 3`

`b = 5`

Explanation:

Objective: Knowldge of Rationalizing Rational Functions.

Complete the LHS to find a and b.

Given

`(10 - √(18) )/( √(2) ) = a + b √(2)`

Rationalize the LHS.

`(10 - √(18) )/( √(2) ) * { ( √(2) )/( √(2) ) }`

You'll get

`= 5 √(2) - 3`

Flip is equation around.

`- 3 + 5 √(2)`

This means that a equal -3 and b equal 5.