how to simplify 35√×210−−√

Answer 1

To simplify √35 * √210, you can use the properties of square roots:

Step 1: Simplify the numbers inside the square roots separately.
√35 = √(5 * 7) = √5 * √7
√210 = √(2 * 3 * 5 * 7) = √2 * √3 * √5 * √7

Step 2: Multiply the simplified numbers together.
(√5 * √7) * (√2 * √3 * √5 * √7)

Step 3: Combine the like terms by multiplying them.
√5 * √5 * √7 * √7 * √2 * √3

Step 4: Simplify the square roots of the like terms.
5 * 7 * √2 * √3 = 35√6

Therefore, √35 * √210 simplifies to 35√6.