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How to Simplify Surds - 1 Video Lecture | Quantitative Aptitude for SSC CGL

FAQs on How to Simplify Surds - 1 Video Lecture - Quantitative Aptitude for SSC CGL

1. How do I simplify surds?

Ans. To simplify surds, you need to find the largest perfect square that can be divided from the number inside the surd. Then, you can take the square root of that perfect square and multiply it with the number outside the surd.

2. Can you provide an example of simplifying a surd?

Ans. Certainly! Let's say we have the surd √18. First, we find the largest perfect square that divides 18, which is 9. Then, we take the square root of 9, which is 3, and multiply it with the number outside the surd. So, √18 simplifies to 3√2.

3. Is there a specific method to simplify surds involving fractions?

Ans. Yes, when dealing with surds and fractions, you can simplify the fraction first and then apply the surd simplification method. Make sure to simplify the fraction as much as possible before simplifying the surd.

4. Can we simplify surds with variables?

Ans. Yes, it is possible to simplify surds with variables. However, you need to follow the same steps as simplifying regular surds. Look for any perfect squares that can be divided from the variable and follow the surd simplification method accordingly.

5. Are there any rules to simplify surds with exponents?

Ans. Yes, when simplifying surds with exponents, you need to apply the power rule. This means that the exponent outside the surd can be divided by the index of the surd. For example, if you have (√x)^2, you can simplify it to just x.

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May 23, 2025 Last updated

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315 videos|182 docs|185 tests

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