Question

2×2×2×2×5×5×5×5=2×2×5×5 true or false
$\sqrt{} 2x2x2x2x5x5x5x5 = 2x2x5x5 \: true \: or \: false$
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Answer 1

Answer:

1》FALSE

2》TRUE

Step-by-step explanation:

1》2×2×2×2×5×5×5×5=2×2×5×5 true or false

16×625=4×10

10000=40

LHS IS NOT EQUAL TO RHS

SO IT IS FALSE

2》

$\sqrt{2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5} = 2 \times 2 \times 5 \times 5 \\ \sqrt{ {2}^{2} \times {2}^{2} } \times \sqrt{ {5}^{2} \times {5}^{2} } = {2}^{2} \times {5}^{2} \\ = {2}^{2} \times {5}^{2} = {2}^{2} \times {5}^{2} \\ = 4 \times 25 = 4 \times 25 \\ 100 = 100 \\ \:( lhs \: = rhs) \\ \\ true$