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To find the square root of 2 × 2 × 5 × 7 × 7 × 5 you can re-arrange the multiplication into two groups by taking each prime in turn in pairs and splitting the pair into one in each group, and the primes in each group multiplied together give the square root.
In 2 × 2 × 5 × 7 × 7 × 5 there is:
1 pair of 2s, so put one 2 in each group, the two groups at this stage are both {2}
1 pair of 5s, so put one 5 in each group, the two groups at this stage are now both {2 × 5}
1 pair of 7s, so put one 7 in each group the two groups at this stage are now both {2 × 5 × 7}
There are no more primes left at this stage, so the two groups are both {2 × 5 × 7}
As the two groups are the same and they are multiplied together to get the original number, the square root of the original number is the value of one of the groups; thus the square root of 2 × 2 × 5 × 7 × 7 × 5 is 2 × 5 × 7 = 70.
This can be done by rearrangement of the primes (in the prime factorisation) into the two groups:
√(2 × 2 × 5 × 7 × 7 × 5) = √((2 × 5 × 7) × (2 × 5 × 7)) = √((2 × 5 × 7)²) = 2 × 5 × 7 = 70.
Wiki User
∙ 7y ago
Wiki User
∙ 7y ago2x2x5x7x7x5 = 4900. The square root of 4900 = 70
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What is the square root of 20 in simplest form?
square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.
What is the square root of the number square root of which is 2?
.5
What is the square root of 2 divided by 5?
0.4
What is the square root 2 plus 3 square root 5 Times Square root 2 minus square root 7?
24
What is 2 square root of 20 - square root of 20 plus 3 square root of 20 - 2 square root 45?
It is 2*sqrt(5).
What is 5 divided by square root of 2?
2.5
What is the square root of 20 in simplest form?
square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.
Square root of 2add the root of 2 and the root of 5?
the square root of 2: 1.000 the square root of 5: 2.236 hope it helps
How do you work out 7 - square root of 5 squared?
2
What is the square root of the number square root of which is 2?
.5
Simplify the algebraeically the square root of 20?
20 is 5x4 so we can simplify it like this: ____ ______ / = / \/ 20 \/ 5 x 4 Also note that: ____ / = 2 \/ 4 So... ____ ____ / = / \/ 20 2 \/ 5
Square root in denominator?
I will use "root" as a symbol for square root. I assume you want to get rid of the square root in the denominator; this will usually bring some square root into the numerator.If you have the square root by itself, or as a factor, multiply numerator and denominator by this square root. Example:3 / root(2) = 3 x root(2) / root(2) x root(2) = 3 x root(2) / 2.If the square root is added or subtracted with something else, multiply with a "complement", as in the following example:1 / root(2) + 5The "complement" is the same expression, but changing the plus sign to a minus sign. Multiply numerator and denominator aby root(2) - 5:root(2) - 5 / (root(2) + 5)(root(2) - 5)= (root(2) - 5) / (2 - 25)= (root(2) - 5) / -23= -(root(2) - 5) / 23
What is the square root of 2 divided by 5?
0.4
What is the square root 2 plus 3 square root 5 Times Square root 2 minus square root 7?
24
What is 2 square root of 20 - square root of 20 plus 3 square root of 20 - 2 square root 45?
It is 2*sqrt(5).
5 square root of 3 2 square root of 3?
Square root of 6
What is the square root of 5 times the square root of 2 plus the square root of 8?
=SQRT(5)*SQRT(2)+SQRT(8) is 5.99070478491457
