Question

Simplify √18 +5√98 - 2√125 + 4√50 - 3√80​

Answer 1

Answer:

(i) √52, 5√13 (ii) √68, 5√3 (iii) 4√18, 7 √2 ( iv) 19√12, 6√3 (v) 5√22,7√33 (vi) 5√5 , √ 75 ... Simplify the following surds. ... Since, 5√ 5=√25×5=√125 and 7√2=√49×2=√98

Answer 2

Step-by-step explanation:

$\sqrt{18} + 5 \sqrt{98 } - 2 \sqrt{125} + 4 \sqrt{50} - 3 \sqrt{80}$

= (√9×√2) + ( 5×√49×√2 ) - (2× √25×√5) + (4 ×√25×√2) - (3×√16×√5)

= 3√2 + 35√2 - 10√5+ 20√2 - 12√5

= 58√2 - 22√5

= 2(29√2 - 11√5)