Question

if under root 5 + under root 3 / under root 5 minus under root 3 is equals to X

Answer 1

hope it will help u.......!!!!!!

Answer 2

Concept:

Rationalizing the denominator is the process of changing an expression with a square root term in the denominator (or a number with a radical sign) into an equivalent expression with a rational number as the denominator. The example given below will help you understand this better:

Rationalize the denominator of 1/√3 in Example 1.

Solution: 1/√3 is the given radical expression.

Now, we must express 1/√3 as an equivalent expression with a rational number as the denominator.

√3 is an irrational number, yet its product, 3, is a rational one.

This means that we can obtain the necessary equivalent expression by multiplying 1/√3 by √3/3.

So,

1/√3=1√3 x√3/√3 =√3/3

Given:

x=(√5+√3)/(√5-√3)

y=(√5-√3)/(√5+√3)

Find:

Find x²+y²=?

Solution:

x=(√5+√3)/(√5-√3)

y=(√5-√3)/(√5+√3)

x²+y²=(√5+√3)/(√5-√3)²+(√5-√3)/(√5+√3)²

        =(8+2√5)/2 + (8-2√5)/2

         =(8+2√5 +8-2√5)/2

         =16/2

         =8

Therefore, the answer is 8

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