The value of \sqrt^3{ \frac{0.2 \times 0.2 \times 0.2+0.04 \times 0.04 \times 0.04}{0.4\times0.4 \times 0.4+0.08 \times0.08\times 0.08}}is

RRB RPF RPSF SI and CONS Model Papers 10 with solutions

Question : 51 of 120

Marks: +1, -0

The value of

√^3{ {0.2 × 0.2 × 0.2+0.04 × 0.04 × 0.04}/{0.4×0.4 × 0.4+0.08 ×0.08× 0.08}}

Solution:

(1) Let 0.2 = a and 0.04 = b
∴ 0.4 = 2a and 0.08 = 2b
∴ Expression

=√^3 { {a × a × a+b ×b × b}/{2 a× 2 a × 2 a+2 b × 2 b × 2 b}}

=√^3 { {a^{3}+b^{3}}/{8 (a^{3}+b^{3} )}}

=√^3 {1/8} =1/2=0.5

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