Answer:
The given expression is irrational because one factor is irrational
Step-by-step explanation:
Given the expression
[tex](\sqrt{576})(\sqrt{684})[/tex]
we have to find that the product is rational or irrational.
[tex]\sqrt{576}=\sqrt{26\times 26}=26[/tex]
[tex]\sqrt{684}=\sqrt{2 \times 2 \times 3 \times 3 \times 19}=2\times 3\sqrt{19}=6\sqrt{19}[/tex]
[tex]\text{The square root of 19 is irrational }[/tex]
[tex]\text{The square root of 684 is irrational }[/tex]
Hence, the first factor of the expression is rational and the second factor is irrational therefore the product is irrational.
∴ option 3 is correct
The given expression is irrational because one factor is irrational
Answer:
The given expression is irrational because one factor is irrational
Step-by-step explanation:
