Cześć!
a)
[tex]x^2=13^2-5^2\\\\x^2=169-25\\\\x^2=144\\\\x=\sqrt{144}\\\\\huge\boxed{x=12}[/tex]
b)
[tex]x^2=5^2+(2\sqrt3)^2\\\\x^2=25+2^2\cdot(\sqrt3)^2\\\\x^2=25+4\cdot3\\\\x^2=25+12\\\\x^2=37\\\\\huge\boxed{x=\sqrt{37}}[/tex]
c)
[tex]x^2=6^2-(3\sqrt2)^2\\\\x^2=36-3^2\cdot(\sqrt2)^2\\\\x^2=36-9\cdot2\\\\x^2=36-18\\\\x^2=18\\\\x=\sqrt{18}=\sqrt{9\cdot2}\\\\\huge\boxed{x=3\sqrt2}[/tex]
d)
[tex]x^2=6^2+8^2\\\\x^2=36+64\\\\x^2=100\\\\x=\sqrt{100}\\\\\huge\boxed{x=10}[/tex]
e)
[tex]x^2=5^2-(6:2)^2\\\\x^2=25-3^2\\\\x^2=25-9\\\\x^2=16\\\\x=\sqrt{16}\\\\\huge\boxed{x=4}[/tex]
f)
[tex]x^2=6^2-4^2\\\\x^2=36-16\\\\x^2=20\\\\x=\sqrt{20}=\sqrt{4\cdot5}\\\\\huge\boxed{x=2\sqrt5}[/tex]
