Question

What's is √13×√52 = ?

Answer 1

Answer:

$26$

Step-by-step explanation:

We have:

$\sqrt{13}\times\sqrt{52}$

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

$=\sqrt{13}\times \sqrt{13\times 4}$

We can separate the second one:

$=\sqrt{13}\times\sqrt{13}\times\sqrt{4}$

We can combine the first two:

$=\sqrt{13\times13}\times\sqrt4$

We can write $13\times13$ as $13^2$. So:

$=\sqrt{13^2} \times \sqrt4$

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

$=13\times2$

Multiply:

$=26$

Therefore:

$\sqrt{13}\times\sqrt{52}=26$