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# What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power?

This question is part of Some Hard Math Questions quiz
Asked by BRANDMAN, Last updated: Sep 16, 2020

#### john.christian.ballestero

John.christian.ballestero

This one is kind of hard when you see this question, but it's easy. Let A and B be a number. If A raised to B is multiplied to A raised to -B, it will always result to 1. We can prove that. Lets change -B into -1(B). So A raised to -B equals to 1/A raised to B. If they're multiplied, the terms will be cancelled, leaving us to only 1. So 1 is the answer here.

#### C. Perez

Just getting better day by day

C. Perez, Writer, Writer, Cleveland

The correct answer to this question is 1. To solve this question, we would start off with the equation √2√3–√−2√. Being that both squares are 3, we can simplify and make the equation 3–√2√−2√. 2 minus 2 equals 0, which will give us 3–√0. Simplified, this gives us 1, which is the answer.

This question would be found on a math test. Square roots can be tricky, but I find it is easier to write everything out to help me solve it. Of course, if one wants an easy route, they can have Google Assistant solve it for them, but that won't help them understand square roots.

BRANDMAN

1