multiplying radicals

5^60 . 2^2

Do you mean 5\sqrt{60}.2\sqrt2?

5\sqrt{60}.2\sqrt2

5\sqrt{15\times4}.2\sqrt2

5\sqrt{15}\sqrt4.2\sqrt2

5\sqrt{15}(2).2\sqrt2

10\sqrt{15}.2\sqrt2

10\times2\sqrt{15\times2}

20\sqrt{30}

Did that helped? :)

5^60 . 2^2

5√60 · 2√2

Or you could do it like this (if "^" = "√")

5\sqrt {60} \cdot 2 \sqrt{2}

5 \cdot 2 \sqrt {60 \cdot 2}

10\sqrt {2 \cdot 2 \cdot 30}

20\sqrt {30}

Whichever you think is easier to remember.