Question

state whether root 7 is a surd or not
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Answer 1

When we can't simplify a number to remove a square root (or cube root etc) then it is a surd. Example: √4 (square root of 4) can be simplified (to 2), so it is not a surd! not? The surds have a decimal which goes on forever without repeating, and are Irrational Numbers...

√7-Before finding the value of root 7, it is important to know what is perfect and non-perfect square. Any perfect square number ends with 1, 4, 5, 6, 9 in the unit place. Any number that ends with 2, 3, 7, 8 at the unit place is called non-perfect square. this is long division method

SURD- A number that can't be simplified to remove a square root (or cube root etc). Examples: • √2 (square root of 2) can't be simplified further so it is a surd.

Answer 2

Root 7 is a surd.

• Surds are square root values that cannot be reduced further into whole numbers or integers. Irrational numbers are known as surds.

• To put it another way, a surd is an irrational root of a whole number.
• Rationalizing the denominators is one approach for ejecting the surd from the denominator.

• To solve surds, it may be necessary to find the greatest perfect square factor.