A surd is an irrational number that can’t be expressed as a simple fraction, usually involving roots such as square roots or cube roots.
A surd is a rational number that can be expressed as a simple fraction.
A surd is any number that can be expressed as a whole number.
A surd is a fraction without irrational numbers.
1/2
3
4
The square root of 2 (\(\sqrt{2}\))
Yes, because it involves a square root.
No, because it simplifies to 2, a rational number.
Yes, because all square roots are surds.
No, because 4 is an even number.
5\(\sqrt{2}\)
2\(\sqrt{5}\)
\(\sqrt{5}\)
10\(\sqrt{2}\)
Multiply the numbers under the roots and simplify if possible.
Add the numbers under the roots and simplify if possible.
Divide the numbers under the roots and simplify if possible.
Only multiply surds with the same radicand.
Yes, because surds are similar to integers.
Yes, if they have different radicands.
No, they can only be added if they have the same radicand.
No, because they are fractions.
6
12
\(\sqrt{36}\)
\(\sqrt{12}\)
4\(\sqrt{2}\)
6\(\sqrt{2}\)
5\(\sqrt{2}\)
\(\sqrt{10}\)
Subtract \(\sqrt{3}\) from the denominator.
Multiply both numerator and denominator by \(\sqrt{3}\).
Add \(\sqrt{3}\) to the numerator and denominator.
Divide the numerator by \(\sqrt{3}\).
\(\frac{4}{5}\)
\(\frac{4\sqrt{5}}{5}\)
\(\frac{4}{\sqrt{5}}\)
5\(\sqrt{4}\)
No, only some surds are irrational.
Yes, by definition.
No, surds are always rational numbers.
Yes, because every surd is a fraction.
\(\sqrt{9}\)
\(\sqrt{15}\)
3\(\sqrt{5}\)
9\(\sqrt{5}\)
A surd is a whole number, while a rational number is an irrational number.
A surd is an irrational number that cannot be expressed as a simple fraction, unlike a rational number.
There is no difference, both can be expressed as fractions.
A surd is always equal to a rational number.
3\(\sqrt{5}\)
\(\sqrt{25}\)
5\(\sqrt{4}\)
\(\sqrt{50}\)
It simplifies to 2, which is a rational number.
It simplifies to a surd.
It has an irrational result.
It cannot be expressed as a fraction.