Final answer:
To find X, √45 is simplified to 3√5 and √18 to 3√2. Thus, X is expressed as X = 3√5 + 3√2.
Step-by-step explanation:
The student's question 'If X= √45 + √18 & Y= √5 + √2, Then X =' requires solving the expression for X. To find X, we first simplify √45 and √18.
√45 can be rewritten as √(9×5) which simplifies to 3√5 because √9 equals 3. Similarly, √18 can be written as √(9×2) which simplifies to 3√2 because √9 equals 3.
Now, X becomes:
X = 3√5 + 3√2
Since this is a simplified form of the original expression for X, the final answer is:
X = 3√5 + 3√2