if B*B = a, then B is square root of a
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The square root of Ab^2 is |b|√A, where A is a positive real number and b is any real number. The absolute value of b is taken to ensure the result is always positive or zero. If b is negative, the result will be |b| times the square root of A.
You cannot prove it because it is not necessarily true. A = 16 < B = 25 But one square root of A = +4 is not less than one square root of B = -5.
It's the square root of a2+b2. It cannot be simplified. It is NOT a+b. The answer is c square.
a+ square root of b has a conjugate a- square root of b and this is used rationalize the denominator when it contains a square root. If we want to multiply 5 x square root of 10 by something to get rid of the radical you can multiply it by square root of 10. But if we look at 5x( square root of 10 as ) 0+ 5x square root of 10 then the conjugate would be -5x square root of 10
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