Use rational exponents to write 4suare root 5 * 2 sqaure root 8
Please help.. I can't find the square root button
The subject is rational (fractional) exponents, not radical.
4sqrt5 * 2 sqrt8 = 8 sqrt40
= 8 sqrt(4*10) = 16 sqrt10
To simplify the expression 4√5 * 2√8 using rational exponents, you can break down the square roots into fractional exponents.
First, let's convert the square roots to fractional exponents:
√5 can be written as 5^(1/2)
√8 can be written as 8^(1/2)
Now we have 4 * 5^(1/2) * 2 * 8^(1/2)
Next, multiply the coefficients together: 4 * 2 = 8
Now the expression becomes 8 * 5^(1/2) * 8^(1/2)
To simplify further, you can combine the exponents: 5^(1/2) * 8^(1/2) = (5*8)^(1/2) = 40^(1/2)
Finally, rewrite 40^(1/2) as a square root: √40
Therefore, the simplified expression is 8√40.