49 lines
1.1 KiB
Markdown
49 lines
1.1 KiB
Markdown
---
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id: 5900f3bc1000cf542c50fecf
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title: 'Problem 80: Square root digital expansion'
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challengeType: 5
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forumTopicId: 302194
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dashedName: problem-80-square-root-digital-expansion
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---
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# --description--
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It is well known that if the square root of a natural number is not an integer, then it is irrational. The decimal expansion of such square roots is infinite without any repeating pattern at all.
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The square root of two is 1.41421356237309504880..., and the digital sum of the first one hundred decimal digits is 475.
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For the first one hundred natural numbers, find the total of the digital sums of the first one hundred decimal digits for all the irrational square roots.
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# --hints--
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`sqrtDigitalExpansion()` should return a number.
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```js
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assert(typeof sqrtDigitalExpansion() === 'number');
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```
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`sqrtDigitalExpansion()` should return 40886.
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```js
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assert.strictEqual(sqrtDigitalExpansion(), 40886);
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```
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# --seed--
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## --seed-contents--
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```js
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function sqrtDigitalExpansion() {
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return true;
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}
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sqrtDigitalExpansion();
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```
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# --solutions--
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```js
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// solution required
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```
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