sqrt(2/16)+sqrt(98/9)
Publish date: 2024-06-17
sqrt(2/16)+sqrt(98/9) 
%2Bsqrt(98%2F9)&pl=Simplify+Radical+Expression)
Enter radical expression
Simplify √2/16 + √98/9Simplify term 1:
Rationalize our term by multiplying the numerator and denominator by √16
| √16 |
| √16 |
The denominator is simplified by eliminating our radical sign:
| √2√16 | |
| 16 |
The product of two square roots is the square root of the product:
From our Square Root Calculator, we see that √32 = 4√2
Since √32 = 4√2, our new fraction for term 1 is
We can reduce 4 and 16
From our GCF Calculator, we see that the highest number that reduces 4 and 16 is 4.
Our numbers reduce as follows: 4 ÷ 4 = 1 and 16 ÷ 4 = 4
Simplify term 2:
Rationalize our term by multiplying the numerator and denominator by √9
The denominator is simplified by eliminating our radical sign:
| √98√9 | |
| 9 |
The product of two square roots is the square root of the product:
From our Square Root Calculator, we see that √882 = 21√2
Since √882 = 21√2, our new fraction for term 2 is
We can reduce 21 and 9
From our GCF Calculator, we see that the highest number that reduces 21 and 9 is 3.
Our numbers reduce as follows: 21 ÷ 3 = 7 and 9 ÷ 3 = 3
Build common denominator:
The common denominator for our 2 terms will be the product of our 2 denominators: 4 x 3 = 12Term 1
Multiply the numerator and denominator by 12 ÷ 4 = 3| 1√2 x 3 | |
| 4 x 3 |
Term 2
Multiply the numerator and denominator by 12 ÷ 3 = 4| 7√2 x 4 | |
| 3 x 4 |
List out our terms with the common denominator of 12
| 3√2 + 28√2 | |
| 12 |
Group our √2 terms
(3 + 28)√2 = 31√2
Build our final answer:
How does the Radical Expressions Calculator work?
Free Radical Expressions Calculator - Evaluates and simplifies radical expressions. Simplifying radical expressions.
This calculator has 1 input.
What 4 formulas are used for the Radical Expressions Calculator?
List out all factor products for SFind the highest factor with an integer square root and multiply the square root by the other square root of the factor
For more math formulas, check out our Formula Dossier
What 3 concepts are covered in the Radical Expressions Calculator?
radicalThe √ symbol that is used to denote square root or nth roots√radical expressionsan nth root of a number x is a number r which, when raised to the power n, yields x
n√xsquare roota factor of a number that, when multiplied by itself, gives the original number
√x
Example calculations for the Radical Expressions Calculator
Radical Expressions Calculator Video
Tags:
Add This Calculator To Your Website
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfp66lsddnp6Gob6PCronSqqmtYGJaf4d9lWJca3qjpr%2B1dJhxXGt%2BaV5zsbicjKCmqJyes7p3sZqbopuRoXiGxM%2BrnKyrmaS7