What is √12 simplified

√12 simplified is 2√3.

To simplify the square root of 12 (√12), we need to find the largest perfect square that divides evenly into 12.

Since 4 is the largest perfect square that divides into 12, we can rewrite √12 as √(4 * 3).

Using the property of square roots (√(ab) = √a * √b), we can break up the square root as follows:

√(4 * 3) = √4 * √3

The square root of 4 (√4) is 2.

So, √12 simplifies to 2√3.

To simplify the square root of 12 (√12), you can break it down into its prime factors.

First, find the prime factors of 12:
12 can be written as 2 × 2 × 3.

Next, group the factors into pairs:
√12 = √(2 × 2 × 3)

Since there is a pair of 2's, you can take one 2 out of the square root and leave one inside:
√12 = 2√3

So, the simplified value of √12 is 2√3.

what is √18 simplified

To simplify the square root of 18 (√18), we need to find the largest perfect square that divides evenly into 18.

Since 9 is the largest perfect square that divides into 18, we can rewrite √18 as √(9 * 2).

Using the property of square roots (√(ab) = √a * √b), we can break up the square root as follows:

√(9 * 2) = √9 * √2

The square root of 9 (√9) is 3.

So, √18 simplifies to 3√2.

what is √125 simplified

The square root of 125 (√125) can be simplified by breaking it down into its prime factors.

First, find the prime factors of 125:
125 can be written as 5 × 5 × 5.

Next, group the factors into pairs:
√125 = √(5 × 5 × 5)

Since there is a pair of 5's, you can take one 5 out of the square root and leave one inside:
√125 = 5√5

So, the simplified value of √125 is 5√5.

what is ^3√54 simplified

To simplify the cube root of 54 (³√54), we can break it down into its prime factors.

First, find the prime factors of 54:
54 can be written as 2 × 3 × 3 × 3.

Next, group the factors into groups of three:
³√54 = ³√(2 × 3 × 3 × 3)

Since there is a group of three 3's, you can take one 3 out of the cube root and leave two inside:
³√54 = 3³√(2)

So, the simplified value of ³√54 is 3³√2.