Spuare root of 2*square root of 10

you just multiply the numbers inside.

(square root of x)(square root of y) = square root of xy

So you would end up with sqrt 20 which is sqrt (4*5) which is 2 sqrt 5

To simplify the expression √2 * √10, you can first simplify each square root individually and then multiply the results.

For the square root of 2 (√2), it cannot be simplified further, so it remains as it is.

For the square root of 10 (√10), we can simplify it by decomposing the number into its prime factors. The prime factors of 10 are 2 * 5. So, we can rewrite √10 as √(2 * 5).

Now, we can simplify the expression:
√2 * √10 = √2 * √(2 * 5)

Using the property of square roots, which states that √(a * b) = √a * √b, we can rewrite the expression as:
√2 * √(2 * 5) = √2 * (√2 * √5)

Now, multiplying the square roots:
√2 * (√2 * √5) = √2 * 2 * √5

Finally, simplifying the expression:
√2 * 2 * √5 = 2√2√5 = 2√(2 * 5) = 2√10

So, the square root of 2 times the square root of 10 simplifies to 2√10.