The sqrt function has the distributive property. So sqrt(a/b) = sqrt(a) / sqrt(b). In this case, a = 81, and b = 625. sqrt(81) = 9. sqrt(625) = 25. So sqrt(81/625) = 9 / 25. To get a decimal representation, multiply by a form of 1 that makes the denominator a power of 10. Here, 25 * 4 = 100, so 9/25 * 4/4 = 36/100 = 0.36 Log in to Reply

Answer: 81 = 3⁴ √81 = √3⁴ =√(3²)(3²) =√(3²)² =3² =3×3 =9 ——————————————————————— √625 =√5⁴ =√(5²)(5²) =√(5²)² =5×5 =25 Log in to Reply

The sqrt function has the distributive property.

So sqrt(a/b) = sqrt(a) / sqrt(b).

In this case, a = 81, and b = 625.

sqrt(81) = 9.

sqrt(625) = 25.

So sqrt(81/625) = 9 / 25.

To get a decimal representation, multiply by a form of 1 that makes the denominator a power of 10. Here, 25 * 4 = 100, so

9/25 * 4/4 = 36/100 = 0.36

Answer:81 = 3⁴√81= √3⁴=√(3²)(3²)=√(3²)²=3²=3×3=9———————————————————————√625=√5⁴=√(5²)(5²)=√(5²)²=5×5=25