Question

The product of two dissimilar surds is​

Answer 1

The product of two dissimilar surds is a irrational number

Given : Two dissimilar surds

To find : The product of two dissimilar surds

Solution :

Step 1 of 2 :

Explain dissimilar surds

Dissimilar surds are those surds which have different radicand

Step 2 of 2 :

Find product of two dissimilar surds

Let us consider two dissimilar surds say 2√3 and 3√5

Now their product

= 2√3 × 3√5

= 6√15 : which is an irrational number

Hence we can conclude that product of two dissimilar surds is a irrational number

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