"Radical x times radical x" could be interpreted as the square root of x times the square root of x - in which case the product would be x (the number under the radical sign)
√2 x √25 = 1.4142135623731 x 5 = 7.07106781186548
12 radical 6 x 6 radical 6 = 72 x 6 = 432
The property that is essential to solving radical equations is being able to do the opposite function to the radical and to the other side of the equation. This allows you to solve for the variable. For example, sqrt (x) = 125.11 [sqrt (x)]2 = (125.11)2 x = 15652.5121
7 x 2½
2 radical 11 the square root of 44. 44/2 = 22 radical 2 x 22 radical 2 x 2 x 11 Since 2 is under the radical twice you can take it out 2 radical 11
4 x2
√2 x √2 = (√2)2 = 2
Well, honey, radical 14 times radical 2 is just radical 28. It's like multiplying two annoying siblings who always want attention - they combine to become one big radical mess. So, there you have it, radical 28 is the result of that math family reunion.
By radical, I am assuming that you mean square root, not cube root, quartic root, or otherwise. If this is the case, then we can use fractional exponents to help. Change sqrt(x) to x^(1/2), or x to the one half power. Then we take a radical of a radical which becomes sqrt(x^(1/2)) = (x^(1/2))^(1/2) = x^(1/4). When we raise a power to a power, we multiply exponents. So the answer to the square root of the square root of x is x to the one fourth power, or the 4th root of x.
2 x 2½ x 3½
"Radical x times radical x" could be interpreted as the square root of x times the square root of x - in which case the product would be x (the number under the radical sign)
sqrt(1) + 3*sqrt(x) = 1 + 3*x^1/2So the antiderivative is x + [3*x^(3/2)]/(3/2) + c = x + 2*x^(3/2) + c where c is the constant of integration.
To find the inverse you switch the x and the y and then solve for y. x=2 radical( y + 3) radical(y + 3) = x/2 y+3= (x/2)² y = (x/2)² -3 So the answer is y = (x/2)² -3
Radical (3x) = radical(x) * radical(3).
The prime factorization of 52 is 2 x 2 x 132 x 2 x 13 = 522 x 2 x 13 = 52
(x - 3) (x - square root of 2) = 0