Question

if P is equal to under root 3 minus under root 2 upon under root 3 + under root 2 and q is equal to under root 3 + under root 2 upon under root minus under root 2 find p square plus q square

Answer 1

hope this answer is help full

Answer 2

Concept: An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not. '√'is the unconventional image accustomed represent the basis of numbers. The positive variety, once increased by itself, represents the square of the amount. The root of the square of a positive variety provides the first variety.

Given: p=√3-√2/ √3+√2

q=√3+√2/ √3-√2

Find: Calculate the value of p^2+q^2.

Solution: p=√3-√2/ √3+√2

q=√3+√2/ √3-√2

p^2+q^2

= (√3-√2/ √3+√2)^2+ (√3+√2/ √3-√2)^2

= 3+2-2√6/ 3+2+2√6 + 3+2+2√6/ 3+2-2√6

= 5-2√6/ 5+2√6 + 5+2√6/ 5-2√6

= (5-2√6)( 5-2√6)+(5+2√6)(5+2√6)/ (5+2√6)(5-2√6)

= 25+24-20√6+25+24+20√6/ 25-24

= 50+48/1

= 98

Final answer: p^2+q^2=98.

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