Answer:
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
We want to find:
[tex] \sqrt{50} [/tex]
Rewrite the number under the radical as a product of prime factors to get:
[tex] \sqrt{50} = \sqrt{ {5}^{2} \times 2} [/tex]
We now split the square root sign to get:
[tex] \sqrt{ {5}^{2} } \times \sqrt{2} [/tex]
This simplifies to
[tex]5 \sqrt{2} [/tex]
Therefore the final result is :
[tex] \sqrt{50} = 5 \sqrt{2} [/tex]
