Question

What's is √13×√52 = ?

Answer 1

`26`

Explanation:

We have:

`√(13)*√(52)`

Notice that 52 is the product of 13 and 4. So:

`=√(13)* √(13* 4)`

We can separate the second one:

`=√(13)*√(13)*√(4)`

We can combine the first two:

`=√(13*13)*\sqrt4`

We can write
`13*13` as
`13^2`. So:

`=√(13^2) * \sqrt4`

The square root and the square will cancel. The square root of 4 is 2. So:

`=13*2`

Multiply:

`=26`

Therefore:

`√(13)*√(52)=26`