Rationalize our term by multiplying the numerator and denominator by √2
√50
√2
·
√2
√2
The denominator is simplified by eliminating our radical sign:
√50√2
2
The product of two square roots is the square root of the product:
√100
2
From our Square Root Calculator, we see that √100 = 10 Since √100 = 10, our new fraction for term 1 is
10
2
We can reduce 10 and 2 From our GCF Calculator, we see that the highest number that reduces 10 and 2 is 2. Our numbers reduce as follows: 10 ÷ 2 = 5 and 2 ÷ 2 = 1
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List out all factor products for S Find the highest factor with an integer square root and multiply the square root by the other square root of the factor