みるよ

I'll try ...

→ 見る
phrase Uncommon #15,175
I'll try ... Follows a verb in its て-form to mean that you will try doing something. よ adds emphasis or assurance.
JA: この料理を作ってみるよ。
EN: I'll try making this dish.

問い合わせてみるよ

I'll ask about it.

— TAXi (1998)

考えてみるよ。

I'll think about it.

よく考えてみるよ

I'll think it over.

— High and Low (1963)

お前を見習ってみるよ。

I'll try to follow your example.

頑張ってみるよ。

I'll give it a try.

トムが帰ってきたら、話をしてみるよ。

I'll try talking to Tom when he gets back.

自分の考えを言ってみるよ。

I'll tell you what I think.

ここに腰掛けてトムを待ってみるよ。

I’ll sit here and wait for Tom.

書いてみるよ

I'll try writing it.

— どん底作家の人生に幸あれ! (2019)

探してみるよ

I'll look for it.

— 甘い生活 (1960)

お金のことはジェーンにあたってみるよ。

I'll ask Jane about the money.

直してみるよ。

I'll try to fix it.

ちょっと考え直してみるよ。

I'll give it some more thought.

明日この本を読んでみるよ。

I'll try reading this book tomorrow.