Thursday Tutoring: Understanding Radicals in Math and Spirituality
Thursday Tutoring: Understanding Radicals in Math and Spirituality

Thursday Tutoring: Understanding Radicals in Math and Spirituality

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March 9, 2023
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Mathematics is an essential subject that teaches us to think critically and solve problems systematically. One of the fundamental concepts in math is the idea of radicals. Radicals can be challenging to understand, especially when it comes to adding and subtracting them versus multiplying and dividing them. However, by applying this concept to spirituality, we can see how this mathematical concept can provide us with a deeper understanding of our connection to the universe.

What are Radicals in Math?

In math, radicals are a way of expressing roots. When we take the square root of a number, we're asking ourselves, "what number times itself equals the original number?" For example, the square root of 16 is four because four times four equals 16. The square root symbol, √, is a radical sign that indicates we're taking the root of a number.

Adding and Subtracting Radicals

When adding and subtracting radicals, we need to ensure that we're only combining like terms. For example, we can add together √3 + √3 to get 2√3. However, we cannot add √2 + √3 together since they are not like terms.

Multiplying and Dividing Radicals

When multiplying and dividing radicals, we need to simplify them as much as possible. For example, we can simplify √2 x √3 to get √6. However, we can only simplify √2 x √2 + √3 to √4 + √3, which results is 2 + √3.

When we divide radicals, we have to utilize the conjugate. For √2 ÷ √5 we multiply both the numerator and denominator by the denominator. By doing this, we create a perfect square in the denominator, as we don’t want roots down there. We end up with (√2 x √5) ÷ (√5 x √5), which then simplifies into (√10) ÷ (√25), and further as √10 ÷ 5.

If there is an addition or subtraction in our denominator, we must use the conjugate of the opposite operation. For √2 ÷ (2 + √3), the conjugate multiplied against the numerator and denominator will be (2 - √3).

Radicals in Spirituality

In spirituality, we can think of radicals as representing the different aspects of our lives. Just as in math, we need to ensure that we're only adding and subtracting like terms. We need to focus on the things that are essential to our lives and remove any distractions or unnecessary negativity that can hinder our growth.

When it comes to multiplying and dividing radicals in spirituality, we need to simplify our lives as much as possible. By simplifying our lives, we can reduce our stress levels and create more time for the things that matter most. Simplifying our lives can also help us connect more deeply with the universe and our spiritual path. Although we may not like negative things, they are necessary for the complex structure that is life.

Understanding radicals in math can be challenging, but by applying this concept to our spirituality, we can gain a deeper understanding of our connection to the universe. Just as we need to ensure that we're only adding and subtracting like terms in math, we need to focus on the things that are essential to our lives and remove any negativity that can hinder our growth. By simplifying our lives, we can reduce our stress levels and create more time for the things that matter most. Just like with radicals, life isn’t always a simple solution. Sometimes, we have to be okay with the irrational journeys we’re set on and find our slice of peace where we can.

Please see these written radical problems that we discussed in this post.