hardnstrong
Bunuel
hardnstrong
If x ≠ 0, what is the value of sq. root (x^u/x^v) ?
(1) u = v
(2) x is a perfect square.
OA will be posted later
\(\sqrt{\frac{x^u}{x^v}}=?\)
(1) \(u=v\) --> \(\sqrt{\frac{x^u}{x^v}}=\sqrt{\frac{x^u}{x^u}}=\sqrt{1}=1\). Sufficient.
(2) x is a perfect square --> Clearly not sufficient.
Answer: A.
my question is sq. root of 1 can be +1 or -1 (
like sq, root of 4 can be +2 or -2)
How can it be only 1?
please explain
OA is A
Square root function cannot give negative result.Any nonnegative real number has a
unique non-negative square root called
the principal square root and unless otherwise specified,
the square root is generally taken to mean
the principal square root.
When the GMAT provides the square root sign for an even root, such as \(\sqrt{x}\) or \(\sqrt[4]{x}\), then the
only accepted answer is the positive root.
That is, \(\sqrt{25}=5\), NOT +5 or -5. In contrast, the equation \(x^2=25\) has TWO solutions, +5 and -5.
Even roots have only non-negative value on the GMAT.Odd roots will have the same sign as the base of the root. For example, \(\sqrt[3]{125} =5\) and \(\sqrt[3]{-64} =-4\).
Hope it helps.