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(5+√8)+(3−√2)(√2−6) is
  • a)
    positive and rational
  • b)
    negative and rational
  • c)
    positive and irrational
  • d)
    negative and irrational
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
(5+√8)+(3−√2)(√2−6) isa)positive and rat...
Given Expression:
(5+√8) + (3-√2)(√2-6)

Solution:

Step 1: Simplify the expression
First, simplify the expression inside the parentheses:
(5+√8) + (3-√2)(√2-6)
= 5 + √8 + 3√2 - 6 - 3√2 + 6 (Use FOIL method)
= 5 + √8 - 6 + 6
= 5 + √8

Step 2: Simplify further
Now, simplify the expression 5 + √8:
5 + √8 = 5 + √(4*2) = 5 + √4 * √2 = 5 + 2√2
Therefore, the simplified expression is 5 + 2√2, which is a positive irrational number.

Conclusion:
The given expression (5+√8) + (3-√2)(√2-6) simplifies to 5 + 2√2, which is a positive irrational number. Therefore, the correct answer is option 'C' - positive and irrational.
Free Test
Community Answer
(5+√8)+(3−√2)(√2−6) isa)positive and rat...
The answer is 11root2 _15 If we find out the absolute value it is 11root2 + 15
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(5+√8)+(3−√2)(√2−6) isa)positive and rationalb)negative and rationalc)positive and irrationald)negative and irrationalCorrect answer is option 'C'. Can you explain this answer?
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