Respuesta :

Answer:

3√5 or ≈6.7082

Step-by-step explanation:

1) √45

2) Factor out the perfect square: √3²×5

3) The root of a product is equal to the product of the roots of each factor: √3²√5

4) Reduce the index of the radical and exponent with 2: 3√5

5) Solution: 3√5 or ≈ 6.7082

[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = 3 \sqrt{5} [/tex]