what is √125 simplified

√125 simplified is 5√5.

To simplify √125, we need to find the largest perfect square that divides 125 evenly. In this case, the largest perfect square that divides 125 is 25 (which is 5^2).

So, we can rewrite √125 as √(25 * 5).

Using the property of square roots, we can split the square root of a product into the product of the square roots:
√(25 * 5) = √25 * √5

√25 is equal to 5, so √(25 * 5) simplifies to 5√5.

Therefore, √125 simplified is 5√5.

To simplify √125, we can find the largest perfect square that divides evenly into 125.

The largest perfect square that divides evenly into 125 is 25 (5 * 5 = 25).

Therefore, we can simplify √125 as √(25 * 5).

Using the property of square roots that states √(a * b) = √a * √b, we simplify √(25 * 5) as √25 * √5.

The square root of 25 is 5, so the final simplified form of √125 is 5√5.

^3√54 simplified

The cube root of 54 simplified is ∛(2 * 3^3)

Using the property of cube roots that states ∛(a * b) = ∛a * ∛b, we simplify ∛(2 * 3^3) as ∛2 * ∛(3^3)

The cube root of 3^3 is 3, so the final simplified form of ∛(2 * 3^3) is 3∛2.