To simplify the expression √7 • 45 • √35, we can simplify each term separately and then multiply the results.
First, let's simplify √7 and √35: √7 = √(1•7) = √1 • √7 = 1 • √7 = √7 √35 = √(5•7) = √5 • √7
Now, let's substitute these values back into the expression: √7 • 45 • √35 = √7 • 45 • √5 • √7
Next, let's simplify the terms with √7: √7 • √7 = √(7•7) = √49 = 7
Now, let's substitute this value back into the expression: 7 • 45 • √5
Finally, let's simplify the remaining multiplication: 7 • 45 = 315
So, the simplified expression is 315 • √5.
