Insert irrational numbers between √5 and √7.
Solution:
Since, 5 < 6 < 7
So, irrational number between √5 and √7 is √6.
Insert two irrational numbers between √3 and √7.
Solution:
Since, 3 < 4 < 5 < 6 < 7
So,
√3 < √4 < √5 < √6 < √7
But √4 = 2, which is a rational number.
So,
Two irrational numbers between √3 and √7 are √5 and √6.
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