√8, √10, √15
We Know That -
An irrational number can not be written in the form of p/q where,
An irrational number can not be written in the form of p/q where,p and q are integers, such that q ≠ 0,
Also, a prime number inside square root is always an irrational number.
Hence, when we multiply an irrational number by a rational number the resultant number is also irrational.
While, when we multiply two different irrational numbers the result is also irrational.
∵ √4 = 2 = 2/1
where, 2 and 1 are integers such that 1 ≠ 0,
⇒ √4 is not irrational.
similarly, √8 = 2 × √2
= product of rational number and irrational number
⇒ √8 is irrational.
also, √10 = √5 × √2
= product of two different irrational numbers
⇒ √10 is irrational.
and, √15 = √3 × √5
= product of two different irrational numbers
⇒ √15 is irrational.
finally, √36 = 6/1
⇒ √36 is not irrational. no
Learn more about irrational numbers at : https://brainly.com/question/11525222
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