Question

If x=√126×√63×√45/√147×√243,the value of x is

Answer 1

Answer:

We know that,

√126 = √2 x 3 x 3 x 7    or,

= 3√14

similarly,

√63 = 3√7

√45 = 3√5

√147 = 7√3

√243 = 9√3

⇒x = 3√7 x 3√5 x 7√3 x 9√3 x 3√14

⇒x = 1701 (21√10)

⇒x = 35721√10

Answer 2

Answer:

$3 \sqrt{14} \times 3 \sqrt{7} \times 3 \sqrt{5} \times 7 \sqrt{3} \times 9 \sqrt{3} \\ 3 \sqrt{14 \times 7 \times 5} \times 63 \times \sqrt{3 } \times \sqrt{3}$

$3 \sqrt{2 \times 7 \times 7 \times 5} \times 63 \times 3 \\ 3 \times 7 \sqrt{10} \times 189$

$21 \sqrt{10} \times 189 \\ 12549.97{approx}$

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