Question

What is the square root of a2-2ab+b2?

Answer 1

A²-2ab+b²
We can write it
(A-b)² and it square root is
√(a-b) ²
a-b
I hope this will help you
By DEVANSH

Answer 2

$\sqrt{a^{2}-2ab+b^{2}}=\pm (a-b)$

Step-by-step explanation:

We know that, $(a-b)^{2}=a^{2}-2ab+b^{2}$.

Let, $x=a^{2}-2ab+b^{2}$

Taking square root to both sides, we get

$\sqrt{x}=\pm\sqrt{a^{2}-2ab+b^{2}}$

$\Rightarrow \sqrt{x}=\pm\sqrt{(a-b)^{2}}$

$\Rightarrow \sqrt{x}=\pm (a-b)$

$\Rightarrow \sqrt{a^{2}-2ab+b^{2}}=\pm (a-b)$

Check step:

We have the square root: $\pm (a-b)$

Now, squaring it, we have

$[\pm (a-b)]^{2}$

$=a^{2}-2ab+b^{2}$ ( Checked )

#SPJ3