Question

Value of 2 upon root 5 subtract root 3

Answer 1

Step-by-step explanation:

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Answer 2

Concept

Conjugates are terms that have same variables, the only difference between the terms is the sign between the variables. For example the conjugate of (√a-√b) is (√a+√b)

also, (a+b) (a-b) = a^2 - b^2

Given

an expression 2/(√5-√3)

Find

we need to simplify the expression and find its value.

Solution

We have

2/(√5-√3)

The conjugate of (√5-√3) is (√5+√3)

Thus, multiplying the numerator and denominator by the conjugate of (√5-√3) we get

2(√5+√3)/(√5+√3)(√5-√3)

Applying the (a+b) (a-b) formula in the denominator we get,

= 2(√5+√3)/(5-3)

= 2(√5+√3)/2

Cancelling the number 2 from numerator and denominator we get,

= 1(√5+√3)/1

= (√5+√3)

Thus, the value of the expression is (√5+√3)

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