If \sqrt21316 =146, then find the value of ( \sqrt213.16+\sqrt 2.1316 +\sqrt0.021316 +\sqrt 0.00021316 +2 \sqrt2.1316).

Powers and Roots Practice Test 3

Question : 20 of 40

Marks: +1, -0

√21316 =146

, then find the value of

( √213.16+√ 2.1316 +√0.021316

+√ 0.00021316 +2 √2.1316)

Solution:

( √213.16+√ 2.1316 +√0.021316 +√ 0.00021316 +2 √2.1316)

= √{21316/10^2}+√ {21316 /10^4}+√ {21316/10^6} +√ {21316 /10^8}+2 √{21316/10^4}

=146/10+146/10^2+146/10^3+146/10^4+2(146/10^2)

=14.6+1.46+0.146+0.0146+146/50

=16.2206+2.92=19.1406

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