Question

Find the value
2 root 5 +3 root 5​

Answer 1

2√5+3√5

5√5(bcz 2 and 3 have the common root √5 so they are added.)

:-BUT IF THERE WOULD BE DIFFERENT ROOTS THEY WILL NOT BE ADDED.

Answer 2

Answer:

$5\sqrt{5}$ is the required value of $2\sqrt{5} + 3\sqrt{5}$.

Step-by-step explanation:

Explanation:

Given in the question, $2\sqrt{5} + 3\sqrt{5}$

So, from the question we need to find the value of $2\sqrt{5} + 3\sqrt{5}$.

• As we know that the base and exponent of the two terms you are trying to add or subtract are the same before adding or subtracting numbers with exponents.

• If they are identical, all you need to do is add up their coefficients while maintaining the same base and exponent.

Step 1:

From the question we have,$2\sqrt{5} + 3\sqrt{5}$

So, here we can see that both  digit have a common root which is $\sqrt{5}$.

First we take $\sqrt{5}$ as common from both the digit.

⇒$2\sqrt{5} + 3\sqrt{5}$

⇒$\sqrt{5}( 2+ 3)$

Now, we add 2  and 3 we get,

⇒$\sqrt{5}(5)$, this can be written as, $5\sqrt{5}$.

Final answer:

Hence, $5\sqrt{5}$ is the required value of $2\sqrt{5} + 3\sqrt{5}$.

#SPJ2