Rationalise the denominator of: -7/(√11 - √5)

Given,

The denominator is √11 - √5.

We know that

Rationalising factor of √a-√b is √a+√b.

Therefore, the rationalising factor of √11-√5 is √11+√5.

On rationalising the denominator them

Multiplying (√11 + √5) with both the numerator of the fraction.

Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.

Writing the squares of the numbers in the denominator.

Performing subtraction in the denominator.

Hence, the denominator is rationalised.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.