To simplify a radical, find the largest perfect square (or power matching the radical's index) that divides the number inside (radicand), break the radicand into factors using that perfect power, take the root of the perfect power out of the radical, and leave the rest inside, repeating until the radicand has no more perfect factors.
Square root of 45 is 6.7082039325 it is a number which when multiplied by itself results in 45. Root of 45 is written as √45 or (45)1/2. Simplified radical form of the square root of 45 is √(45) = 3√5.
Square Root of 75 by Prime Factorization Method
The prime factorisation of 75 is 3×5×5. Thus, √75 = √3. √5. √5 = 5√3.
√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5.
Here, 0.66666666666667 is approximately 0.6666... (repeating) which can be represented as 0.6̅. Thus, 0.66666666666667 can be written as a fraction 2/3.
What is the square root of 48 in simplified form? The square root of 48 in simplified form is 4√3.
Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.