Question

Simplify:
(i)3/root8 +1/root2
(ii) root45-3root20+4root5

Answer 1

Answer:

Step-by-step explanation:

1/√2 = √2/2

3/√8 = 3*√8/8

i) 7*√8/8

root 45 = 3root5

3 root 20 = 6 root 5

3-6+4(root5) = root5

Answer 2

Solution :

(i) Now, $\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}$

$=\frac{3}{2\sqrt{2}}+\frac{1}{\sqrt{2}}$

$=(\frac{3}{2}-1)\frac{1}{\sqrt{2}}$

$=\frac{1}{2}\frac{1}{\sqrt{2}}$

$=\frac{1}{2\sqrt{2}}$

$\implies \boxed{\frac{3}{\sqrt{8}}+\frac{1}{\sqrt{2}}=\frac{1}{2\sqrt{2}}}$

which is the required simplification.

(ii) Now, $\sqrt{45}-3\sqrt{20}+4\sqrt{5}$

$=3\sqrt{5}-6\sqrt{5}+4\sqrt{5}$

$=\sqrt{5}$

$\implies \boxed{\sqrt{45}-3\sqrt{20}+4\sqrt{5}=\sqrt{5}}$

which is the required simplification.