How do you simplify the square root $sqrt49$ ?

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Answer 1 · 2018-03-06T01:41:11

$sqrt49=sqrt((pm7)^2)=pm7$

If I have a number, say 7, and I square it, I'll get $7^2=49$

The square root is the opposite of the square operation. And so when we take the square root of a number that is squared, the two operations cancel:

$sqrt49=sqrt(7^2)=7$

Keep in mind that if I were to square $-7$ , I'd end up with the same starting place:

$(-7)^2=49$

Which one is the answer to $sqrt49$ ? $7$ or $-7$ ? We don't know. And so we list out both possible answers:

$sqrt49=sqrt((pm7)^2)=pm7$

How do you simplify the square root sqrt49sqrt49?