Look for the largest square number in its factors. The square root of 512 is equal to the square root of 2 times the square root of 256. The square root of 256 is 16. The square root of 512 simplifies to 16 times the square root of 2.
Replace the radical sign with the exponent 0.5. For example sqrt(7) = 70.5
Radical 15 times radical 15 is equal to 15. When you multiply two square roots of the same number, you can simplify it as follows: √15 × √15 = √(15 × 15) = √225, which equals 15.
You can't simplify it more in radical form
12^6
You look for a perfect square and take it out of the radical (while taking the square root of it).
Since 242 is divisible by 121, which is a perfect square, you can simplify it to: 11 radical 2
Get a calculator with the radical sign, press on whatever number you want to square root, and then press on the radical sign.
it the number that is simfilied
To solve a radical equation, isolate the radical on one side of the equation and then square both sides to eliminate the radical. After squaring, simplify the resulting equation and solve for the variable. Finally, check all potential solutions by substituting them back into the original equation to identify any extraneous roots, which are solutions that do not satisfy the original equation.
To simplify radicals with different indices, first express each radical in terms of a common index. For example, convert square roots and cube roots to fractional exponents (e.g., ( \sqrt{a} = a^{1/2} ) and ( \sqrt[3]{b} = b^{1/3} )). Then, find a common denominator for the exponents to combine the terms. Finally, simplify the expression as needed and convert back to radical form if desired.
The radical form is √1300. It is possible to simplify that but the question does not require simplification.
√200 = 10√2. In order to simplify square roots, you find what factors of the number under the radical sign you can take the square root of. In the case of 200, its factors are 5 * 2 * 2 * 5 * 2. You can take the square root of 2 * 2 and 5 * 5, which are 2 and 5, respectively. 2 and 5 are on the outside of the radical sign, so you multiply them together to equal 10, while the remaining 2 stays under the radical.