The meaning of 示してみせろ

Question

その点に不服があるのなら、学校側が納得するようにこの1年間で示してみせろ。

示す: 1. to (take out and) show; to demonstrate; to tell; to exemplify; to make apparent​, 2. to point out (finger, clock hand, needle, etc.)​, 3. to indicate; to show; to represent; to signify; to display.

見せる/みせろ: 1. show, 2. display.

I can't find any references related to 示してみせろ, except in a song by a Japanese band Lustknot. "Decayed My Skin". One of the fans translate 示してみせろ as "show a sign", but it's not quite fit the sentence I found in light novel.

I'm confused with the 2 words with an almost similar meaning put together into a word. I have a feeling that it simply means "to show", but it's like an emphasize, and perhaps "to show (with enthusiasm feeling)".

Thank you for your kind guidance.

Answer 1

示す

1. to (take out and) show; to demonstrate; to tell; to exemplify; to make apparent​
2. to point out (finger, clock hand, needle, etc.)​
3. to indicate; to show; to represent; to signify; to display.

This is meaning 1 of course.

見せる/みせろ

1. show
2. display.

It means to "make (something) clear" to the school, like "show them what's wrong". You could have for example がんばってみせろ = show them (みせろ) that you're capable of trying hard (がんばって), etc.

I can't find any references related to 示してみせろ,

It's just the combination of two words, 示して and みせろ so I don't know why there would be references for that in particular.