Question

If √2 =1.414,√5=2.236 and√3=1.732,full solution find the value of : 1. √72+√48 2. √125/64

Answer 1

1. √72+√48
=6√2+4√3
=6×1.414+4×1.732
=8.484+6.928
=15.412

2. √125/64
=(5√5)/8
=11.18/8
=1.3975

Answer 2

Answer: 1) 15.412 and 2) 1.3975

Step-by-step explanation:

Since we have given that

1. √72+√48

So, we will rewrite √72=√36×2=6√2

√48=√16×3=4√3

So, it becomess

$\sqrt{72} +\sqrt{48}\\\\=6\sqrt{2}+4\sqrt{3}\\\\=6\times 1.414+4\times 1.732\\\\=15.412$

Similarly,

2. √125/64

$\sqrt{\frac{125}{64}}=\frac{\sqrt{125}}{\sqrt{64}}\\\\=\frac{5\sqrt{5}}{8}\\\\=\frac{5\times 2.236}{8}\\\\=1.3975$

Hence, 1) 15.412 and 2) 1.3975