Question

Simplify [view attached image]

Answer 1

Given:

The given expression is
`(√(5))( \sqrt[3]{5})`

We need to simplify the given expression.

Simplification:

Let us simplify the given expression.

Rewriting the given expression, we have;

`5^{(1)/(2)} \cdot 5^{(1)/(3)}`

Let us apply the exponent rule
`\:a^b\cdot \:a^c=a^(b+c)`, we get;

`5^{(1)/(2)+(1)/(3)}`

Taking LCM, we have;

`5^{(3+2)/(6)}`

Simplifying, we get;

`5^{(5)/(6)}`

Thus, the simplified value of the given expression is
`5^{(5)/(6)}`

Hence, Option a is the correct answer.