Question

If 4√5 = √43, what do you think 6. equals?

Answer 1

`\[6√(5)\]`equals
`\(√(180).\)`

To find this, we multiply
`\(4√(5)\)` by
`\((6)/(4)\)` to maintain the relationship, resulting in
`\(√(180)\)`

Step-by-step explanation:

To understand the relationship between 4√5 and √43, let's start by examining the given equation:

4√5 = √43

Now, to find what 6√5 equals, we can multiply both sides of the equation by 1.5 (which is the same as multiplying by 6 and then dividing by 4):

6√5 = 1.5 * 4√5 = 1.5 * √43

This simplifies to:

6√5 = √(1.5² * 43)

Calculating this gives:

6√5 = √180

Therefore, 6√5 is equal to the square root of 180.

In summary, the initial equation provides a ratio between 4√5 and √43. To find the corresponding value for 6√5, we use this ratio, resulting in 6√5 being equivalent to the square root of 180.