How does (5√26)/2 equal 5√(13/2). Need explaining
You show how from 13 to 26. I want to know how from 26 to13
5√(13/2)
= 5√13/√2
= 5√13/√2) * √2/√2
= 5√26/2
test with a calculator
so follow the steps backwards
geez
To understand why (5√26)/2 is equal to 5√(13/2), let's break it down step by step:
1. Start with the expression (5√26)/2.
2. First, let's simplify the square root of 26. The square root of 26 is not a perfect square, so it cannot be simplified further. Therefore, we can represent it as √26.
3. Now, let's rewrite the expression: (5√26)/2.
4. Next, let's consider the fraction 2 in the denominator. We can rewrite it as the square root of 2 divided by the square root of 2, which is √2/√2. This is done to rationalize the denominator. Since multiplying a number by 1 does not change its value, we are essentially multiplying the expression by (√2/√2).
5. Rewriting the expression and simplifying, we get: (5√26 * √2) / (2 * √2).
6. Now, we can simplify further by multiplying the numerators (5√26 * √2) to get 5√(26*2) = 5√52.
7. At this point, we can simplify the square root of 52. It can be expressed as the square root of 4 times the square root of 13, which is 2√13.
8. Finally, combining everything we have, the expression (5√26)/2 is equal to 5√(13/2).
So, (5√26)/2 is simplified to 5√(13/2) by rationalizing the denominator and simplifying the square root expression.