Simplifying a fraction

[Guest]

I have a problem that says:

[tex]\sqrt{1-\frac{1}{7}^{2}}[/tex] simplifies to

(4 [tex]\sqrt{3}[/tex])/7

Could someone please summarize how it simplifies to this answer? It would help me so much!

Thank you,

Abby

[Guest]

[tex]\sqrt{1 - (\frac{1}{7})^2} = \sqrt{1 - \frac{1}{49}} = \sqrt{\frac{49}{49} - \frac{1}{49}} = \sqrt{\frac{48}{49}}=\sqrt{\frac{16\cdot 3}{49}}=\sqrt{\frac{4^2}{7^2}\cdot3}=\frac{4}{7}\cdot\sqrt{3}[/tex]