Answer :
Step-by-step explanation:
[tex]\text{The principal square root}:\\\\\sqrt{a}=b\iff a^2=b\ \text{for}\ a\geq0\ \text{and}\ b\geq0.\\\\\text{The square root:}\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\\===================[/tex]
[tex]\text{If you want the principal square root (arithmetic square root):}\\\\\sqrt{225}=15\ \text{because}\ 15^2=225\\\\\text{If you want square root (algebraic square root):}\\\\\sqrt{225}=\pm15\ \text{because}\ (-15)^2=225\ \text{and}\ 15^2=225[/tex]
Answer:
Yes, [tex]\sqrt{225}[/tex] is a rational number.
Step-by-step explanation:
We are asked to determine whether the square root of 225 is a rational number or not.
We know that a number is a rational, when it can be written as a fraction.
Let us find square root of 225.
[tex]\sqrt{225}[/tex]
[tex]\sqrt{15^2}[/tex]
[tex]15[/tex]
Since 15 can be written as [tex]\frac{15}{1}[/tex], therefore, [tex]\sqrt{225}[/tex] is a rational number.