Question

4/a + a/4=√2 Find a4+263

Answer 1

Answer:

263 + $\sqrt{2}$

Step-by-step explanation:

given- $\frac{4}{a} + \frac{a}{4} = \sqrt{2}$

to find- a4+263

solution-

taking the l.c.m. of 4 & a we have, 4a

• $\frac{16+a^{2} }{4a} = \sqrt{2}$

when 4a gets substituted to another side it gets multiplied. So,

• $16 + a^{2} = 4a\sqrt{2}$

• $16= \frac{4a\sqrt{2} }{a^{2} }$

• $16= \frac{4\sqrt{2} }{a}$

• $a= \frac{4\sqrt{2} }{16}$

• $a=\frac{\sqrt{2} }{4}$

Therefore, we get the value of a which we use in,

• a4 +263

• $\frac{\sqrt{2} }{4} *4 +263$

• $\sqrt{2} + 263$