Question

Find the value of root 10 - root 5 by 2 root 2 upto three decimal places hint root 2 =1.414 and root 5=2.236

Answer 1

$\sqrt{2} = 1.414 \\ \sqrt{5} = 2.236$

$( \sqrt{10} - \sqrt{5} ) \div 2 \sqrt{2} = \\ \sqrt{5} ( \sqrt{2} - 1) \div 2 \sqrt{2} \\ = 2.236 \times (1.414 - 1) \div 1.414 \\ = 0.654$