Square Root Of 3

We all are familiar with squares roots and finding the square root of any number is easy- as long as the number forms a perfect square. But what about numbers that do not split into two perfect numbers?

For instance, the square root of 3 is 1.7320508… It goes on and on, up to 10 billion decimals! The value of square root of 3 is a very large decimal indeed. Now, what would you get if you multiplied it by 6? Or to simply rephrase it, what is the value of 6 time the square root of 3? Well, the answer to that is 10.3923048454… Another large number!

Multiplying two square roots are exactly the same as multiplying two normal numbers. Example:\( \sqrt{25}*\sqrt{5}=\sqrt{125} \) (same as 25 x 5 = 125) Sometimes, a square root may have an integer in the front of the symbol (the radical), then the multiplication process remains the same, save for an additional step: \( 3\sqrt{25}*2\sqrt{5} \) Multiply the outer numbers together (3 x 2 = 6) and then, multiply the square roots. \( 6\sqrt{125} \)

These are just the basics. There are even more complex problems to wrap your mind around. You could learn how to solve these problems and more, easily through Byju’s app. It explains the process in detail using illustrations and interesting examples. It also provides tips and tricks that make you think smarter.


Practise This Question

State whether the following is true or false.

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