Question

if √2=1.414 then find the value of √8+√50+√72+√98​

Answer 1

Answer:

root 8 =  root 2^3 = root 2^2 * 2 = root 2 * root 2^2 =  2 root 2

root 50 = root 2 * 5^2 = root 2 * root 5^2 = 5 root 2

root 72 = 6 root 2 = root 2^3 * 3^2 = root 2 * root 2^2 * root 3^2 = 6 root 2

root 98 = root 2 * 7^2 = root 2 * root 7^2 = 7 root 2.

root 8 + root 50 + root 72 + root 98

= 2 root 2 + 5 root 2 + 6 root 2 + 7 root 2

= 2 * 1.414 + 5 * 1.414 + 6 * 1.414 + 7 * 1.414

= 28.284271. (or) 28.28

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Answer 2

Answer:

28.28

Step-by-step explanation:

Given, √2 = 1.414

◆ √8 + √50 + √72 + √98

= (√2×√4)+(√2×√25)+(√2×√36)+(√2×√49)

= 2(√2)+5(√2)+6(√2)+7(√2)

= (2+5+6+7) (√2)

= (20) (√2)

= (20) (1.414)

=28.28

Hence answer is 28.28

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