Question

Convert 3root5 form the radical form to the exponential form

Answer 1

Answer:

root 45

Step-by-step explanation:

3 root 5 = root 9×5 =root 45

Answer 2

Therefore the answer is $45^{\frac{1}{2} }$

Step-by-step explanation:

Given;

Convert $3\sqrt{5}$ form the radical form to the exponential form.

Convert from Radical to Exponential Form:-

Remember the index (root) of the radical will become the denominator of the fractional exponent, and the power will become the numerator. Create the denominator first and then the numerator. Create the numerator first and then the denominator.

Then,

$3\sqrt{5}=3\times 5^{\frac{1}{2} }$

$=\sqrt{9} \times 5^{\frac{1}{2} }$   (∵$\sqrt{9} =3$)

$=9^{\frac{1}{2} } \times 5^{\frac{1}{2} }$

$=45^{\frac{1}{2} }$

Thus the answer is $45^{\frac{1}{2} }$