68,288 views
36 votes
36 votes
Simplify  ( √ 5 ) ( 3 √ 5 )

Simplify  ( √ 5 ) ( 3 √ 5 )-example-1
User Ciprian Stoica
by
2.8k points

1 Answer

9 votes
9 votes

Answer:


5^(5)/(6)

Explanation:


√(5) can be represented as
5^{(1)/(2)} and
\sqrt[3]5} can be represented as
5^{(1)/(3)}. Therefore, the expression can be rewritten as:


5^{(1)/(2)}*5^{(1)/(3)}

The rule for multiplying two exponents with the same base is you add the exponents. For example:
x^m*x^k=x^(m+k)

We can use the same property to get:


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

which is just
5^(5)/(6) after you add the fractions

User Belteshazzar
by
3.3k points