Solve square root of 20 over square root of 28

Question

Simplify the expression

4 o f 35 eo v r \times □

Evaluate

o f \times 20 o v er \times □ o f \times 28

Multiply

More Steps

Multiply the terms

o f \times 20 o v er

Multiply the terms

o^{2} f \times 20 v er

Use the commutative property to reorder the terms

20 o^{2} f v er

Multiply the numbers

20 e o^{2} f v r

20 e o^{2} f v r \times □ o f \times 28

Simplify the root

More Steps

Evaluate

20 e o^{2} f v r

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 5 e o^{2} f v r

Write the number in exponential form with the base of 2

2^{2} \times 5 e o^{2} f v r

Reorder the terms

2^{2} o^{2} \times 5 e f v r

The root of a product is equal to the product of the roots of each factor

2^{2} o^{2} \times 5 e f v r

Reduce the index of the radical and exponent with 2

2 o 5 er v f

2 o 5 er v f \times □ o f \times 28

Use the commutative property to reorder the terms

2 o 5 er v f \times □ 28 o f

Simplify the root

More Steps

Evaluate

28 o f

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 7 o f

Write the number in exponential form with the base of 2

2^{2} \times 7 o f

The root of a product is equal to the product of the roots of each factor

2^{2} \times 7 o f

Reduce the index of the radical and exponent with 2

2 7 f o

2 o 5 er v f \times □ \times 2 7 f o

Multiply the terms

4 o 5 er v f \times □ 7 f o

Solution

More Steps

Evaluate

5 er v f \times 7 f o

The product of roots with the same index is equal to the root of the product

5 er v f \times 7 f o

Calculate the product

More Steps

Evaluate

5 er v f \times 7 f o

Multiply the numbers

35 er v f \times f o

Multiply the terms

35 er v f^{2} o

35 er v f^{2} o

Reorder the terms

f^{2} \times 35 er v o

The root of a product is equal to the product of the roots of each factor

f^{2} \times 35 er v o

Reduce the index of the radical and exponent with 2

f 35 eo v r

4 o f 35 eo v r \times □

Show Solution