0
Square roots can be multiplied by multiplying the numbers under the square root. For example, sqrt(4) * sqrt(5) = sqrt(4*5) = sqrt(20).
They can then be simplified by doing the opposite, splitting them apart. sqrt(20) = sqrt(4) * sqrt(5) = 2 * sqrt(5).
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
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
How do you simplify square root of 13?
The square roots of 13 cannot be simplified.
Simplify the expression 5 square root 2166 multiply square root 114?
It is: 2484.572398
Why does the square root of 13 equals 3.605551275?
If you multiply it by itself you get 13. This is what square roots do!
What does the stepped reckoner do?
It can add, subtract, multiply, divide and do square roots.
What is the square roots for -41.2?
There are none. Negative numbers don't have square roots. Well, they do, but they are known as imaginary numbers, and there is no way to determine them. A square root of a number is a number you can multiply by itself and get the original number. There is no number you can multiply by itself to get a negative number, but every positive number has two square roots of the same absolute value.
How do you solve 4 square root 6 plus 3 square root 2 minus 2 square root 5?
Multiply the entire expression by a least common multiple and then simplify the expression. In this case, the least common multiple is 30 so multiply the entire expression by 30 and simplify.
How do you simplify square roots with exponents?
Replace the radical sign with the exponent 0.5. For example sqrt(7) = 70.5
How do you add simplified square roots?
To add simplified square roots, first simplify each individual square root expression. Then, if the numbers inside the square roots are the same, add or subtract the numbers outside the square roots. Finally, combine the numbers inside the square roots if possible. For example, to add √8 and √18, simplify them individually as 2√2 and 3√2. Since the numbers inside the square roots are the same, add 2 and 3 to get 5√2 as the final result.
Can anyone simplify the square root of 6 times 4square roots of 6?
Sure. the square root of 6 times 4 square roots of 6 is the same as the square root of 6 to the power of five which can be reduced to 6 squared times the square root of 6. The resulting answer is 36 root 6.
Beside 1x2 what are all the ways to multiply two numbers to get the product of two Square roots are included?
The question seems to make no sense. 1x2 does not "get the product of two Square roots ... included".
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 multiply square roots 6x8?
√6 * √8 = √(6*8) = √(16*3) = 4√3
