Kevin said that if the index of a radical is even and the radicand is positive, then
1 answer:
Answer:
Yes Kevin is correct
Step-by-step explanation:
The index, x, of a radical ˣ√ is the numerical value of the root sought of the number located under (within) the radical sign
Therefore, when the index is even, we have, numbers for the radical given by 2x, therefore we have;
⁽²ˣ⁾√(a²ˣ)
Where a = The 2x root of the radicand
Therefore, we can write, a²ˣ = aˣ × aˣ
For which aˣ can be neqative but will still give a positive value
Therefore, when the index is even, the roots can either be a positive or a negative real number, which are two real numbers, +a or -a
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Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.