Answer:
Explanation:
To simplify the expression square root of 10 x square root of 8, we can use the property of square roots which states that the square root of a product is equal to the product of the square roots of the individual factors.
So, we can rewrite the expression as:
square root of 10 x square root of 8 = square root of (10 x 8)
To simplify further, we can calculate the product inside the square root:
10 x 8 = 80
Therefore, the simplified expression becomes:
square root of 10 x square root of 8 = square root of 80
Now, we can simplify the square root of 80 by factoring out any perfect square factors. In this case, we can factor out the perfect square factor of 16:
square root of 80 = square root of (16 x 5)
Taking the square root of 16:
square root of (16 x 5) = 4 x square root of 5
So, the simplified expression is:
square root of 10 x square root of 8 = 4 x square root of 5
Therefore, the simplified expression of square root of 10 x square root of 8 is 4 times the square root of 5.