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Simplify the square root of 200?
√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.
How do you simplify the cube root of x squared times the square root of x?
Personally I prefer to convert roots to fractional powers for this kind of problem. cube root of x squared is x2/3, and square root of x is x1/2. Adding the exponents, you get x2/3 times x1/2 = x7/6, that is, the sixth root of x to the seventh power - where it doesn't matter whether you take the sixth root first, or raise to the sevents power first. Alternatively, you can convert all roots to sixth roots, and multiply - and of course, get the same result.
Are all square roots of even numbers rational?
No. The square roots 8 are irrational, as are the square roots of most even numbers.
How do you you cross multiply?
if youre dealing with fractions then you multiply top by top and bottom by bottom then simplify
How do you simplify a radical?
factor the perfect square simplify the perfect root factor out the perfect cube simplify the perfect root √32 = √16 = √8◦2 = 4√2 move 8 out and simplify it to a perfect square
