To simplify the expression √10 × √8, we can use the property of square roots that states: √a × √b = √(a × b).
So, we can rewrite the expression as follows:
√10 × √8 = √(10 × 8)
Now we can calculate 10 × 8, which equals 80:
√(10 × 8) = √80
Next, we can simplify √80. We notice that 80 can be factored into 16 × 5, where 16 is a perfect square:
√80 = √(16 × 5) = √16 × √5
Since √16 = 4, we have:
√80 = 4 × √5
Thus, the simplified form of √10 × √8 is 4√5.