Square Root

Algebra Level 2

Find the square root of 100 000 000 000 000 000 without using calculator

100000√10000 10000000√100 1000000√1000 100000000√10

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1 solution

Hana Wehbi
Jun 30, 2017

The number we have is 1 0 17 = 1 0 16 × 10 10^{17}= 10^{16}\times 10 . Taking the square root means raising this number to power of 1 2 ( 1 0 16 × 10 ) 1 2 1 0 8 10 \frac{1}{2}\implies (10^{16}\times10)^{\frac{1}{2}}\implies10^8\sqrt{10}

Short and concise!

Mahdi Raza - 1 year ago

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Thank you.

Hana Wehbi - 1 year ago

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