simplify square root of u¹⁸
To simplify the square root of u¹⁸, we can first express the exponent 18 as a product of two factors: 18 = 9 * 2.
Therefore, we can rewrite the square root of u¹⁸ as the square root of u⁹ * u².
Using the property of square roots, we can split the square root of a product into the product of the square root of each factor:
sqrt(u⁹ * u²) = sqrt(u⁹) * sqrt(u²).
The square root of u⁹ is u⁴.5 (since 9 divided by 2 is 4.5).
And the square root of u² is u.
So, sqrt(u⁹) * sqrt(u²) simplifies to u⁴.5 * u.
Combining the terms, we get the simplified form:
u⁴.5 * u = u⁵.5