(5√6+3√8) + (9√6+4√8) plzzz explain it plzz help me
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(5√6+3√8) + (9√6+4√8)
14√6 + 7√3
Answered by
8
ANSWER:
- Value of above expression is 14(√6+√2)
GIVEN:
- (5√6+3√8)+(9√6+4√8)
TO FIND:
- Value of above expression.
SOLUTION:
= 5√6+3√8+9√6+4√8
= 5√6+3√4*√2+9√6+4√4*√2
= 5√6+3*2√2+9√6+4*2*√2
= 5√6+6√2+9√6+8√2
= (5√6+9√6)+(6√2+8√2)
= 14√6+14√2
= 14(√6+√2)
- Value of above expression is 14(√6+√2)
NOTE:
Some important formulas:
- (a+b)² = a²+b²+2ab
- (a-b)² = a²+b²-2ab
- Like terms can be added or subtracted.
- Square root of some number:
- √64 = 8
- √225 = 15
- √625 = 25
- √576 = 24
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