Maths-
General
Easy
Question
if
. Then, find the values of a and b.
The correct answer is: Values are a and b 42/11 and 0
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell text Let's say end text x equals fraction numerator 4 plus square root of 5 over denominator 4 minus square root of 5 end fraction text and end text y equals fraction numerator 4 minus square root of 5 over denominator 4 plus square root of 5 end fraction end cell row cell text so, end text x plus y equals a plus b square root of 5 end cell end table](data:image/png;base64,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)
![fraction numerator 4 plus square root of 5 over denominator 4 minus square root of 5 end fraction plus fraction numerator 4 minus square root of 5 over denominator 4 plus square root of 5 end fraction equals a plus b square root of 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANwAAAAuCAYAAABDAHeTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAA8VJREFUeNrtnEGITVEYx0+TNItJFGmizMJCkg0TE0tpkjTpKbOcWEgWmg2FkAUripUoWaBejI1YTZoksWCahUSykvSKkp5JGP/T+5hxe/O8e+475957vv+v/s28++7ce+f/nXPPved+9zOmHPRAMxmkFfpGnNgLPaQN9I2E4QG0nzbQN+KfpdBn+Unomwp25nhNfwC622R5Ge496BtxuvF+mWNA7D1IZZ6GQ9/i8009l6F9DoHqRGD7oBrUXcKG4+qbUe6barZA446B6kRgj0JXPG6/iL4Zxb6pZiE0Ba3KscO9gAZL1nCy+maU+qaec9ChDIFKs35Pk2XroA/Qghbb/w59ge5Do/Nsp2y+GaW+qWY99DhlB3LJXFgNXZPvtia+OwtdaONYbcPaAJ2AXkFr6FvpfFPPUwlqlkuRdtY/Lg3HPi96lvjuHbQx5T63QxMl980o9K1MeEmX60SOXZqGdhD6BS2Xz5uhNy0ui1oxnWMwQucmxuJbmQiWLud70qQO3ZTfL0GnHI7R3r+8LViAfE9SxOpbUQmWLue7w12FvsnZudbGPcUYNAB1iQal0exW1uFi9a2IBE2X891wFkM/oTvQkzbW3wO9hn5An6Aq1F/AING3YlCXE0wWokuXeyQHeZgnU/rWQexE1lQHthNduly/HPzKyEelWH0raoyGoFsZ99dnIk2Xqyi4DIzVtzTYy7vT0EfTeBA/aWazczodo5PQMdmfTQqYltGqN8U2mC7HDlcIn1wfhdyDLkJLpPNVZSTyESO7bTsxdGTO/s6nHPWYLscOV1qGpRPM5Tq0w1OM7CTR2sSyRaaR3pYkWLrcjAL5OFNr9i3L5MNAYtnEfy4pXY/Tjmb1Jsu7Ex2O6XIc4aK9pExO0dvfv3qK0SbTPDPEdvjxOZ+ZLscOFy21xGf7/uBzTzEalo6UZFRGoiRMl2OHi4735t/pddvwb3uKkZ2YGUks+/POYm+LEZjpcuxw0XDGNEpQdMl92w2ZbPARozGZNNkmn1fIspEWf8N0ORId9rlYVUY3O9rZ53FDHvZjt7vLzKazTbaxH/XpcizZHb9vywrmnep0OZbspm+h0Zgu9xeW7KZveVDR+E+zZDd9UwdLdtM3EvDGmyW76RsJBEt2h/VNe4l41bBkd3jfNJeIVw1Ldufjm9YS8ephye58fNNaIl41LNlN30hAWLI7P980lohXD0t25+ebxhLxJIebbZY6d1uf726xwznBUudu6/PdLXY4J1jqnL6RwLBkN30jAVH9DhJ9I3lQoQX0LVZ+A1bV2fc3oF8SAAABnnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bXJvdz48bW4+NDwvbW4+PG1vPis8L21vPjxtc3FydD48bW4+NTwvbW4+PC9tc3FydD48L21yb3c+PG1yb3c+PG1uPjQ8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1zcXJ0Pjxtbj41PC9tbj48L21zcXJ0PjwvbXJvdz48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1uPjQ8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1zcXJ0Pjxtbj41PC9tbj48L21zcXJ0PjwvbXJvdz48bXJvdz48bW4+NDwvbW4+PG1vPis8L21vPjxtc3FydD48bW4+NTwvbW4+PC9tc3FydD48L21yb3c+PC9tZnJhYz48bW8+PTwvbW8+PG1pPmE8L21pPjxtbz4rPC9tbz48bWk+YjwvbWk+PG1zcXJ0Pjxtbj41PC9tbj48L21zcXJ0PjwvbWF0aD5UrfPDAAAAAElFTkSuQmCC)
Step 1 of 2:
Rationlising both x and y
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals fraction numerator 4 plus square root of 5 over denominator 4 minus square root of 5 end fraction cross times fraction numerator 4 plus square root of 5 over denominator 4 plus square root of 5 end fraction equals fraction numerator left parenthesis 4 plus square root of 5 right parenthesis squared over denominator 16 minus 5 end fraction equals fraction numerator 16 plus 5 plus 2 cross times 4 cross times square root of 5 over denominator 11 end fraction equals fraction numerator 21 plus 8 square root of 5 over denominator 11 end fraction end cell row cell y equals fraction numerator 4 minus square root of 5 over denominator 4 plus square root of 5 end fraction cross times fraction numerator 4 minus square root of 5 over denominator 4 minus square root of 5 end fraction equals fraction numerator left parenthesis 4 minus square root of 5 right parenthesis squared over denominator 16 minus 5 end fraction equals fraction numerator 16 plus 5 minus 2 cross times 4 cross times square root of 5 over denominator 11 end fraction equals fraction numerator 21 minus 8 square root of 5 over denominator 11 end fraction end cell end 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)
Step 2 of 2:
Put the values of x and y in equation (1)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator 21 plus 8 square root of 5 over denominator 11 end fraction plus fraction numerator 21 minus 8 square root of 5 over denominator 11 end fraction equals a plus b square root of 5 end cell row cell fraction numerator 21 plus 8 square root of 5 plus 21 minus 8 square root of 5 over denominator 11 end fraction equals a plus b square root of 5 end cell row cell 42 over 11 equals a plus b square root of 5 end cell end table](data:image/png;base64,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)
So by comparing we found that, ![straight a equals 42 over 11 text and end text straight b equals 0](data:image/png;base64,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)
Final Answer:
Hence, the value of a is
and b is 0.
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Maths-
Simplify![fraction numerator 1 over denominator 2 plus square root of 5 end fraction plus fraction numerator 1 over denominator square root of 5 plus square root of 6 end fraction plus fraction numerator 1 over denominator square root of 6 plus square root of 7 end fraction plus fraction numerator 1 over denominator square root of 7 plus square root of 8 end fraction](data:image/png;base64,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)
Simplify![fraction numerator 1 over denominator 2 plus square root of 5 end fraction plus fraction numerator 1 over denominator square root of 5 plus square root of 6 end fraction plus fraction numerator 1 over denominator square root of 6 plus square root of 7 end fraction plus fraction numerator 1 over denominator square root of 7 plus square root of 8 end fraction](data:image/png;base64,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)
Maths-General
Maths-
A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12 days. In how many days can B alone do it?
A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12 days. In how many days can B alone do it?
Maths-General
Maths-
8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?
8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?
Maths-General
Maths-
A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?
A and B can polish the floors of a building in 10 days. A alone can do ¼th of it in 12 days. In how many days can B alone polish the floor?
Maths-General
Maths-
A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
Maths-General
Maths-
A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?
A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?
Maths-General
Maths-
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
Maths-General
Maths-
A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days. In what time can they do it, all working together?
Maths-General
Maths-
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
A, B and C working together can do a piece of work in 8 hours. A alone can do it in 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?
Maths-General
Maths-
If
find the values of ![x squared plus 1 over x squared](data:image/png;base64,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)
If
find the values of ![x squared plus 1 over x squared](data:image/png;base64,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)
Maths-General
Maths-
Approximate the following irrational numbers to the nearest whole number.![square root of 18](data:image/png;base64,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)
Approximate the following irrational numbers to the nearest whole number.![square root of 18](data:image/png;base64,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)
Maths-General