Simplify square root of 2 multiplied by the cube root of 2.


Question: Simplify square root of 2 multiplied by the cube root of 2.

Let's look into the product law am × an = am+n under exponent rule

Answer: Square root of 2 multiplied by the cube root of 2 is 2(56) 

Let's put the question in form of expression and solve further

Explanation:

As per the product law,

am × an = am+n 

Square root of 2 = 212

Cube root of 2 = 213

Here we have a = 2, m = 12 and n = 13

= 212 × 213

= 2(12+13)

= 2(3+26)

= 2(56)

Hence, the square root of 2 multiplied by the cube root of 2 is 2(56)