Question

express with a rational denominator :1/√10+√14+√15+√21

Answer 1

Let us consider the denominator at first which is (sqrt14+ sqrt10) + (sqrt21 + sqrt15).

Then taking common sqrt2 from the first expression and sqrt3 from the second expression we get (sqrt7 + sqrt5) * (sqrt2 + sqrt3).

Now to rationalize the denominator we need to multiply the numerator with (sqrt7 – sqrt5) *(sqrt2 – sqrt3).

After solving we will find the denominator has finally been rationalized to 2.

Answer 2

Answer: √10+√14-√15-√21

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