Question

simplify 4 + under root 5 upon 4 minus under root 5 + 4 - under root 5 upon 4 + under root 5​

Answer 1

its ur answer.it might help u

Answer 2

Correct question: Simplify $\frac{4+\sqrt{5} }{4-\sqrt{5}} +\frac{4-\sqrt{5} }{4+\sqrt{5}}$ .

Answer:

The simplified value of the expression is 3.818 (approximately).

Given,

An expression: $\frac{4+\sqrt{5} }{4-\sqrt{5}} +\frac{4-\sqrt{5} }{4+\sqrt{5}}$

To Find,

The simplified value of the expression.

Solution,

the method of finding the simplified value of the given expression is as follows -

We will simplify the expression.

$\frac{4+\sqrt{5} }{4-\sqrt{5}} +\frac{4-\sqrt{5} }{4+\sqrt{5}} = \frac{(4+\sqrt{5})^{2} + (4-\sqrt{5})^{2}}{(4+\sqrt{5})(4-\sqrt{5})}$

$=\frac{4^{2}+(\sqrt{5}) ^{2}+2*4*\sqrt{5} +4^{2}+(\sqrt{5}) ^{2}-2*4*\sqrt{5} }{4^{2}-(\sqrt{5})^{2} }$

$=\frac{16+5+8\sqrt{5}+16+5-8\sqrt{5} }{16-5}$

$=\frac{42}{11}=3.818$ [approximately]

Hence, the simplified value of the expression is 3.818 (approximately).

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