To simplify the expression √5 × ∣5, we start by rewriting the roots in exponent form. The square root of 5 can be expressed as 5^(1/2), and the cube root of 5 can be expressed as 5^(1/3). Therefore, we have:
√5 × ∣5 = 5^(1/2) × 5^(1/3)
When multiplying numbers that have the same base, we can add the exponents:
5^(1/2 + 1/3)
To add the exponents, we need a common denominator. The least common denominator of 2 and 3 is 6. Thus, we can convert the fractions:
1/2 = 3/6 and 1/3 = 2/6
Now we can add them:
3/6 + 2/6 = 5/6
Now we substitute back into the exponent:
5^(5/6)
So, the simplified form of √5 × ∣5 is 5^(5/6).