Solve √30 × √1: Step-by-Step Radical Multiplication

Because 1 × 1 = 1! The square root asks "what number times itself gives 1?" The answer is 1, since $1^2 = 1$.

While $\sqrt{30 \times 1} = \sqrt{30}$ works here, it's better to recognize that $\sqrt{1} = 1$ first. This identity property is more useful in complex problems!

The identity property says that any number multiplied by 1 equals itself. So $a \times 1 = a$ for any number a, including radicals like $\sqrt{30}$.

Yes! Since $\sqrt{1} = 1$ always, any expression like $\sqrt{5} \cdot \sqrt{1}$ or $\sqrt{100} \cdot \sqrt{1}$ just equals the first radical.

Verify that $\sqrt{30} \cdot \sqrt{1} = \sqrt{30} \cdot 1 = \sqrt{30}$. You can also check that $(\sqrt{30})^2 = 30$ to confirm your radical is correct.