Answer :
Answer:
D. √ 52 = 2 * √ 13 irrational
Step-by-step explanation:
A. 3 √ 8 = 2 rational
B. 3√ 125 = 5 rational
C. √ 49 = 7 rational
D. √ 52 = 2 * √ 13 irrational
Answer:
The irrational number is [tex]\sqrt{52}[/tex].
Step-by-step explanation:
An irrational number is a non-terminating decimal number that does not follow any specific pattern (example: 0.333.... and 16.111... are all repeating with 3s and 1s, making them rational. While [tex]\sqrt{3}[/tex] or [tex]\sqrt{5}[/tex] are continuing decimals without a pattern, making them irrational). [tex]\sqrt[3]{8}[/tex], [tex]\sqrt[3]{125}[/tex], and [tex]\sqrt{49}[/tex] are all rational numbers, as they are equivalent to 2, 5, and 7 respectively. [tex]\sqrt{52}[/tex] can be written as [tex]\sqrt{4*13}[/tex] or [tex]2\sqrt{13}[/tex], since [tex]\sqrt{13}[/tex] is not a complete square root, which means that [tex]2\sqrt{13}[/tex] is an irrational number.