Question

If √2=1.41 and √5=2.24,
find the value of,
( 3/8√2+5√5) + (2/8√2-5√5)​

Answer 1

The value of the expression is 0.4433.

Step-by-step explanation:

The expression is:

$(\frac{3}{8\sqrt{2}}+5\sqrt{5})+(\frac{2}{8\sqrt{2}}-5\sqrt{5})$

It is provided that:

√2 = 1.41

√5 = 2.24

Compute the value of the expression as follows:

$(\frac{3}{8\sqrt{2}}+5\sqrt{5})+(\frac{2}{8\sqrt{2}}-5\sqrt{5})=\frac{3}{8\sqrt{2}}+5\sqrt{5}+\frac{2}{8\sqrt{2}}-5\sqrt{5}$

                                            $=\frac{3}{8\sqrt{2}}+\frac{2}{8\sqrt{2}}$

                                            $=\frac{3+2}{8\sqrt{2}}$

                                            $=\frac{5}{8\sqrt{2}}$

                                            $=\frac{5}{8\times 1.41}$

                                            $=0.4433$

Thus, the value of the expression is 0.4433.

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