To simplify the expression √7 • 45 • √35, we can multiply the numbers outside of the square roots together and simplify the square roots separately.
First, multiply 45 by 7: 45 • 7 = 315
Next, simplify the square roots: √7 = √7 √35 = √(5 • 7) = √5 • √7
Now, multiply the numbers outside of the square roots together: √7 • 45 • √35 = √7 • 315 • √5
The simplified expression is √7 • 315 • √5.
