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If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4?
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If X = √7 root 5 y equals to root 7 minus root 5 then find X raise t...
Solution:
Given:
X = √7
y = √7 - √5
To find:
X4 Y4
Steps:
Step 1: Calculate X4:
X4 = (√7)4
X4 = 7 × 7
X4 = 49
Step 2: Calculate Y4:
Y4 = (y)4
Y4 = (√7-√5)4
Y4 = (7 + 5 - 2 × √7 × √5)2
Y4 = (12 - 2√35)2
Y4 = 144 - 48√35 + (2√35)2
Y4 = 144 - 48√35 + 140
Y4 = 284 - 48√35
Step 3: Simplify X4 Y4:
X4 Y4 = 49 × (284 - 48√35)
X4 Y4 = 13796 - 2352√35
Answer:
X4 Y4 = 13796 - 2352√35
Explanation:
We are given the values of X and y and are required to find X4 Y4. We first calculate X4 which is simply the fourth power of √7. Next, we calculate Y4 which involves expanding the expression (√7-√5)4. We use the binomial theorem to do this and simplify the resulting expression. Finally, we multiply X4 and Y4 to get the required answer.
Given:
X = √7
y = √7 - √5
To find:
X4 Y4
Steps:
Step 1: Calculate X4:
X4 = (√7)4
X4 = 7 × 7
X4 = 49
Step 2: Calculate Y4:
Y4 = (y)4
Y4 = (√7-√5)4
Y4 = (7 + 5 - 2 × √7 × √5)2
Y4 = (12 - 2√35)2
Y4 = 144 - 48√35 + (2√35)2
Y4 = 144 - 48√35 + 140
Y4 = 284 - 48√35
Step 3: Simplify X4 Y4:
X4 Y4 = 49 × (284 - 48√35)
X4 Y4 = 13796 - 2352√35
Answer:
X4 Y4 = 13796 - 2352√35
Explanation:
We are given the values of X and y and are required to find X4 Y4. We first calculate X4 which is simply the fourth power of √7. Next, we calculate Y4 which involves expanding the expression (√7-√5)4. We use the binomial theorem to do this and simplify the resulting expression. Finally, we multiply X4 and Y4 to get the required answer.
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If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4?
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If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4?.
If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X = √7 root 5 y equals to root 7 minus root 5 then find X raise to power 4 Y raise to power 4?.
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